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Finding the Third Proportional to 21,691 and 32,353

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Solution

The third proportional to 21,691 and 32,353 is: 48,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691 : 32,353 = 32,353 : x
  2. Step 2: Convert to fraction form
    21,691/32,353 = 32,353/x
  3. Step 3: Cross multiply
    21,691x = 32,353 × 32,353
  4. Step 4: Simplify right side
    21,691x = 1,046,716,609
  5. Step 5: Solve for x
    x = 1,046,716,609/21,691
  6. Step 6: Final answer
    x = 48,255.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.