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Finding the Third Proportional to 32,307 and 47,397

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Solution

The third proportional to 32,307 and 47,397 is: 69,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307 : 47,397 = 47,397 : x
  2. Step 2: Convert to fraction form
    32,307/47,397 = 47,397/x
  3. Step 3: Cross multiply
    32,307x = 47,397 × 47,397
  4. Step 4: Simplify right side
    32,307x = 2,246,475,609
  5. Step 5: Solve for x
    x = 2,246,475,609/32,307
  6. Step 6: Final answer
    x = 69,535.26

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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.