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Finding the Third Proportional to 20,028.13 and 46,363.81

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Solution

The third proportional to 20,028.13 and 46,363.81 is: 107,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,028.13 : 46,363.81 = 46,363.81 : x
  2. Step 2: Convert to fraction form
    20,028.13/46,363.81 = 46,363.81/x
  3. Step 3: Cross multiply
    20,028.13x = 46,363.81 × 46,363.81
  4. Step 4: Simplify right side
    20,028.13x = 2,149,603,109.54
  5. Step 5: Solve for x
    x = 2,149,603,109.54/20,028.13
  6. Step 6: Final answer
    x = 107,329.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.