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Finding the Third Proportional to 10,153.13 and 15,690.66

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Solution

The third proportional to 10,153.13 and 15,690.66 is: 24,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.13 : 15,690.66 = 15,690.66 : x
  2. Step 2: Convert to fraction form
    10,153.13/15,690.66 = 15,690.66/x
  3. Step 3: Cross multiply
    10,153.13x = 15,690.66 × 15,690.66
  4. Step 4: Simplify right side
    10,153.13x = 246,196,693.56
  5. Step 5: Solve for x
    x = 246,196,693.56/10,153.13
  6. Step 6: Final answer
    x = 24,248.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.