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Finding the Third Proportional to 32,769 and 70,397

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Solution

The third proportional to 32,769 and 70,397 is: 151,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769 : 70,397 = 70,397 : x
  2. Step 2: Convert to fraction form
    32,769/70,397 = 70,397/x
  3. Step 3: Cross multiply
    32,769x = 70,397 × 70,397
  4. Step 4: Simplify right side
    32,769x = 4,955,737,609
  5. Step 5: Solve for x
    x = 4,955,737,609/32,769
  6. Step 6: Final answer
    x = 151,232.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.