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Finding the Third Proportional to 32,257 and 47,436

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Solution

The third proportional to 32,257 and 47,436 is: 69,757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257 : 47,436 = 47,436 : x
  2. Step 2: Convert to fraction form
    32,257/47,436 = 47,436/x
  3. Step 3: Cross multiply
    32,257x = 47,436 × 47,436
  4. Step 4: Simplify right side
    32,257x = 2,250,174,096
  5. Step 5: Solve for x
    x = 2,250,174,096/32,257
  6. Step 6: Final answer
    x = 69,757.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.