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Finding the Third Proportional to 29,724 and 47,508

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Solution

The third proportional to 29,724 and 47,508 is: 75,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,724 : 47,508 = 47,508 : x
  2. Step 2: Convert to fraction form
    29,724/47,508 = 47,508/x
  3. Step 3: Cross multiply
    29,724x = 47,508 × 47,508
  4. Step 4: Simplify right side
    29,724x = 2,257,010,064
  5. Step 5: Solve for x
    x = 2,257,010,064/29,724
  6. Step 6: Final answer
    x = 75,932.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.