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Finding the Third Proportional to 10,562.91 and 14,143.36

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Solution

The third proportional to 10,562.91 and 14,143.36 is: 18,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.91 : 14,143.36 = 14,143.36 : x
  2. Step 2: Convert to fraction form
    10,562.91/14,143.36 = 14,143.36/x
  3. Step 3: Cross multiply
    10,562.91x = 14,143.36 × 14,143.36
  4. Step 4: Simplify right side
    10,562.91x = 200,034,614.41
  5. Step 5: Solve for x
    x = 200,034,614.41/10,562.91
  6. Step 6: Final answer
    x = 18,937.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.