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Finding the Third Proportional to 17,002.50 and 25,792.50

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Solution

The third proportional to 17,002.50 and 25,792.50 is: 39,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.50 : 25,792.50 = 25,792.50 : x
  2. Step 2: Convert to fraction form
    17,002.50/25,792.50 = 25,792.50/x
  3. Step 3: Cross multiply
    17,002.50x = 25,792.50 × 25,792.50
  4. Step 4: Simplify right side
    17,002.50x = 665,253,056.25
  5. Step 5: Solve for x
    x = 665,253,056.25/17,002.50
  6. Step 6: Final answer
    x = 39,126.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.