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Finding the Third Proportional to 11,142 and 25,908

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Solution

The third proportional to 11,142 and 25,908 is: 60,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142 : 25,908 = 25,908 : x
  2. Step 2: Convert to fraction form
    11,142/25,908 = 25,908/x
  3. Step 3: Cross multiply
    11,142x = 25,908 × 25,908
  4. Step 4: Simplify right side
    11,142x = 671,224,464
  5. Step 5: Solve for x
    x = 671,224,464/11,142
  6. Step 6: Final answer
    x = 60,242.73

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.