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Finding the Third Proportional to 53,686.13 and 72,874.69

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Solution

The third proportional to 53,686.13 and 72,874.69 is: 98,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,686.13 : 72,874.69 = 72,874.69 : x
  2. Step 2: Convert to fraction form
    53,686.13/72,874.69 = 72,874.69/x
  3. Step 3: Cross multiply
    53,686.13x = 72,874.69 × 72,874.69
  4. Step 4: Simplify right side
    53,686.13x = 5,310,720,078.22
  5. Step 5: Solve for x
    x = 5,310,720,078.22/53,686.13
  6. Step 6: Final answer
    x = 98,921.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.