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Finding the Third Proportional to 13,565.75 and 29,078.38

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Solution

The third proportional to 13,565.75 and 29,078.38 is: 62,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.75 : 29,078.38 = 29,078.38 : x
  2. Step 2: Convert to fraction form
    13,565.75/29,078.38 = 29,078.38/x
  3. Step 3: Cross multiply
    13,565.75x = 29,078.38 × 29,078.38
  4. Step 4: Simplify right side
    13,565.75x = 845,551,892.64
  5. Step 5: Solve for x
    x = 845,551,892.64/13,565.75
  6. Step 6: Final answer
    x = 62,329.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.