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Finding the Third Proportional to 25,084.29 and 34,397.20

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Solution

The third proportional to 25,084.29 and 34,397.20 is: 47,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,084.29 : 34,397.20 = 34,397.20 : x
  2. Step 2: Convert to fraction form
    25,084.29/34,397.20 = 34,397.20/x
  3. Step 3: Cross multiply
    25,084.29x = 34,397.20 × 34,397.20
  4. Step 4: Simplify right side
    25,084.29x = 1,183,167,078.96
  5. Step 5: Solve for x
    x = 1,183,167,078.96/25,084.29
  6. Step 6: Final answer
    x = 47,167.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.