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Finding the Third Proportional to 24,132 and 36,352

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Solution

The third proportional to 24,132 and 36,352 is: 54,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,132 : 36,352 = 36,352 : x
  2. Step 2: Convert to fraction form
    24,132/36,352 = 36,352/x
  3. Step 3: Cross multiply
    24,132x = 36,352 × 36,352
  4. Step 4: Simplify right side
    24,132x = 1,321,467,904
  5. Step 5: Solve for x
    x = 1,321,467,904/24,132
  6. Step 6: Final answer
    x = 54,759.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.