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Finding the Third Proportional to 10,228.78 and 15,616.55

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Solution

The third proportional to 10,228.78 and 15,616.55 is: 23,842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.78 : 15,616.55 = 15,616.55 : x
  2. Step 2: Convert to fraction form
    10,228.78/15,616.55 = 15,616.55/x
  3. Step 3: Cross multiply
    10,228.78x = 15,616.55 × 15,616.55
  4. Step 4: Simplify right side
    10,228.78x = 243,876,536.30
  5. Step 5: Solve for x
    x = 243,876,536.30/10,228.78
  6. Step 6: Final answer
    x = 23,842.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.