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Finding the Third Proportional to 9,562.43 and 14,051.92

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Solution

The third proportional to 9,562.43 and 14,051.92 is: 20,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.43 : 14,051.92 = 14,051.92 : x
  2. Step 2: Convert to fraction form
    9,562.43/14,051.92 = 14,051.92/x
  3. Step 3: Cross multiply
    9,562.43x = 14,051.92 × 14,051.92
  4. Step 4: Simplify right side
    9,562.43x = 197,456,398.60
  5. Step 5: Solve for x
    x = 197,456,398.60/9,562.43
  6. Step 6: Final answer
    x = 20,649.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.