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Finding the Third Proportional to 10,291.43 and 15,434.30

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Solution

The third proportional to 10,291.43 and 15,434.30 is: 23,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.43 : 15,434.30 = 15,434.30 : x
  2. Step 2: Convert to fraction form
    10,291.43/15,434.30 = 15,434.30/x
  3. Step 3: Cross multiply
    10,291.43x = 15,434.30 × 15,434.30
  4. Step 4: Simplify right side
    10,291.43x = 238,217,520.03
  5. Step 5: Solve for x
    x = 238,217,520.03/10,291.43
  6. Step 6: Final answer
    x = 23,147.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.