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Finding the Third Proportional to 10,251.56 and 15,314.06

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Solution

The third proportional to 10,251.56 and 15,314.06 is: 22,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.56 : 15,314.06 = 15,314.06 : x
  2. Step 2: Convert to fraction form
    10,251.56/15,314.06 = 15,314.06/x
  3. Step 3: Cross multiply
    10,251.56x = 15,314.06 × 15,314.06
  4. Step 4: Simplify right side
    10,251.56x = 234,520,510.25
  5. Step 5: Solve for x
    x = 234,520,510.25/10,251.56
  6. Step 6: Final answer
    x = 22,876.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.