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Finding the Third Proportional to 20,677 and 32,862

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Solution

The third proportional to 20,677 and 32,862 is: 52,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,677 : 32,862 = 32,862 : x
  2. Step 2: Convert to fraction form
    20,677/32,862 = 32,862/x
  3. Step 3: Cross multiply
    20,677x = 32,862 × 32,862
  4. Step 4: Simplify right side
    20,677x = 1,079,911,044
  5. Step 5: Solve for x
    x = 1,079,911,044/20,677
  6. Step 6: Final answer
    x = 52,227.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.