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Finding the Third Proportional to 38,532 and 56,292

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Solution

The third proportional to 38,532 and 56,292 is: 82,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,532 : 56,292 = 56,292 : x
  2. Step 2: Convert to fraction form
    38,532/56,292 = 56,292/x
  3. Step 3: Cross multiply
    38,532x = 56,292 × 56,292
  4. Step 4: Simplify right side
    38,532x = 3,168,789,264
  5. Step 5: Solve for x
    x = 3,168,789,264/38,532
  6. Step 6: Final answer
    x = 82,237.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.