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Finding the Third Proportional to 29,481 and 60,498

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Solution

The third proportional to 29,481 and 60,498 is: 124,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,481 : 60,498 = 60,498 : x
  2. Step 2: Convert to fraction form
    29,481/60,498 = 60,498/x
  3. Step 3: Cross multiply
    29,481x = 60,498 × 60,498
  4. Step 4: Simplify right side
    29,481x = 3,660,008,004
  5. Step 5: Solve for x
    x = 3,660,008,004/29,481
  6. Step 6: Final answer
    x = 124,148.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.