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Finding the Third Proportional to 46,746 and 65,593.13

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Solution

The third proportional to 46,746 and 65,593.13 is: 92,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,746 : 65,593.13 = 65,593.13 : x
  2. Step 2: Convert to fraction form
    46,746/65,593.13 = 65,593.13/x
  3. Step 3: Cross multiply
    46,746x = 65,593.13 × 65,593.13
  4. Step 4: Simplify right side
    46,746x = 4,302,458,047.27
  5. Step 5: Solve for x
    x = 4,302,458,047.27/46,746
  6. Step 6: Final answer
    x = 92,039.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.