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Finding the Third Proportional to 29,853 and 42,441

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Solution

The third proportional to 29,853 and 42,441 is: 60,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853 : 42,441 = 42,441 : x
  2. Step 2: Convert to fraction form
    29,853/42,441 = 42,441/x
  3. Step 3: Cross multiply
    29,853x = 42,441 × 42,441
  4. Step 4: Simplify right side
    29,853x = 1,801,238,481
  5. Step 5: Solve for x
    x = 1,801,238,481/29,853
  6. Step 6: Final answer
    x = 60,336.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.