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Finding the Third Proportional to 29,932 and 47,652

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Solution

The third proportional to 29,932 and 47,652 is: 75,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,932 : 47,652 = 47,652 : x
  2. Step 2: Convert to fraction form
    29,932/47,652 = 47,652/x
  3. Step 3: Cross multiply
    29,932x = 47,652 × 47,652
  4. Step 4: Simplify right side
    29,932x = 2,270,713,104
  5. Step 5: Solve for x
    x = 2,270,713,104/29,932
  6. Step 6: Final answer
    x = 75,862.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.