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Finding the Third Proportional to 21,687 and 32,347

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Solution

The third proportional to 21,687 and 32,347 is: 48,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687 : 32,347 = 32,347 : x
  2. Step 2: Convert to fraction form
    21,687/32,347 = 32,347/x
  3. Step 3: Cross multiply
    21,687x = 32,347 × 32,347
  4. Step 4: Simplify right side
    21,687x = 1,046,328,409
  5. Step 5: Solve for x
    x = 1,046,328,409/21,687
  6. Step 6: Final answer
    x = 48,246.80

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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.