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Finding the Third Proportional to 20,789 and 31,952

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Solution

The third proportional to 20,789 and 31,952 is: 49,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,789 : 31,952 = 31,952 : x
  2. Step 2: Convert to fraction form
    20,789/31,952 = 31,952/x
  3. Step 3: Cross multiply
    20,789x = 31,952 × 31,952
  4. Step 4: Simplify right side
    20,789x = 1,020,930,304
  5. Step 5: Solve for x
    x = 1,020,930,304/20,789
  6. Step 6: Final answer
    x = 49,109.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.