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Finding the Third Proportional to 10,027.55 and 15,343.17

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Solution

The third proportional to 10,027.55 and 15,343.17 is: 23,476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.55 : 15,343.17 = 15,343.17 : x
  2. Step 2: Convert to fraction form
    10,027.55/15,343.17 = 15,343.17/x
  3. Step 3: Cross multiply
    10,027.55x = 15,343.17 × 15,343.17
  4. Step 4: Simplify right side
    10,027.55x = 235,412,923.19
  5. Step 5: Solve for x
    x = 235,412,923.19/10,027.55
  6. Step 6: Final answer
    x = 23,476.62

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Why These Related Problems?

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