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Finding the Third Proportional to 20,882 and 31,841

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Solution

The third proportional to 20,882 and 31,841 is: 48,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882 : 31,841 = 31,841 : x
  2. Step 2: Convert to fraction form
    20,882/31,841 = 31,841/x
  3. Step 3: Cross multiply
    20,882x = 31,841 × 31,841
  4. Step 4: Simplify right side
    20,882x = 1,013,849,281
  5. Step 5: Solve for x
    x = 1,013,849,281/20,882
  6. Step 6: Final answer
    x = 48,551.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.