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Finding the Third Proportional to 9,754.31 and 15,522.56

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Solution

The third proportional to 9,754.31 and 15,522.56 is: 24,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.31 : 15,522.56 = 15,522.56 : x
  2. Step 2: Convert to fraction form
    9,754.31/15,522.56 = 15,522.56/x
  3. Step 3: Cross multiply
    9,754.31x = 15,522.56 × 15,522.56
  4. Step 4: Simplify right side
    9,754.31x = 240,949,946.57
  5. Step 5: Solve for x
    x = 240,949,946.57/9,754.31
  6. Step 6: Final answer
    x = 24,701.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.