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Finding the Third Proportional to 20,989.13 and 46,063.69

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Solution

The third proportional to 20,989.13 and 46,063.69 is: 101,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,989.13 : 46,063.69 = 46,063.69 : x
  2. Step 2: Convert to fraction form
    20,989.13/46,063.69 = 46,063.69/x
  3. Step 3: Cross multiply
    20,989.13x = 46,063.69 × 46,063.69
  4. Step 4: Simplify right side
    20,989.13x = 2,121,863,306.10
  5. Step 5: Solve for x
    x = 2,121,863,306.10/20,989.13
  6. Step 6: Final answer
    x = 101,093.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.