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Finding the Third Proportional to 20,197.13 and 31,766.06

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Solution

The third proportional to 20,197.13 and 31,766.06 is: 49,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.13 : 31,766.06 = 31,766.06 : x
  2. Step 2: Convert to fraction form
    20,197.13/31,766.06 = 31,766.06/x
  3. Step 3: Cross multiply
    20,197.13x = 31,766.06 × 31,766.06
  4. Step 4: Simplify right side
    20,197.13x = 1,009,082,726.75
  5. Step 5: Solve for x
    x = 1,009,082,726.75/20,197.13
  6. Step 6: Final answer
    x = 49,961.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.