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Finding the Third Proportional to 20,017.13 and 31,417.88

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Solution

The third proportional to 20,017.13 and 31,417.88 is: 49,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,017.13 : 31,417.88 = 31,417.88 : x
  2. Step 2: Convert to fraction form
    20,017.13/31,417.88 = 31,417.88/x
  3. Step 3: Cross multiply
    20,017.13x = 31,417.88 × 31,417.88
  4. Step 4: Simplify right side
    20,017.13x = 987,082,869.52
  5. Step 5: Solve for x
    x = 987,082,869.52/20,017.13
  6. Step 6: Final answer
    x = 49,311.92

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