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Finding the Third Proportional to 21,707 and 32,554

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Solution

The third proportional to 21,707 and 32,554 is: 48,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707 : 32,554 = 32,554 : x
  2. Step 2: Convert to fraction form
    21,707/32,554 = 32,554/x
  3. Step 3: Cross multiply
    21,707x = 32,554 × 32,554
  4. Step 4: Simplify right side
    21,707x = 1,059,762,916
  5. Step 5: Solve for x
    x = 1,059,762,916/21,707
  6. Step 6: Final answer
    x = 48,821.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.