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Finding the Third Proportional to 8,142 and 11,060

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Solution

The third proportional to 8,142 and 11,060 is: 15,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 11,060 = 11,060 : x
  2. Step 2: Convert to fraction form
    8,142/11,060 = 11,060/x
  3. Step 3: Cross multiply
    8,142x = 11,060 × 11,060
  4. Step 4: Simplify right side
    8,142x = 122,323,600
  5. Step 5: Solve for x
    x = 122,323,600/8,142
  6. Step 6: Final answer
    x = 15,023.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.