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Finding the Third Proportional to 20,041.80 and 31,292.89

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Solution

The third proportional to 20,041.80 and 31,292.89 is: 48,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,041.80 : 31,292.89 = 31,292.89 : x
  2. Step 2: Convert to fraction form
    20,041.80/31,292.89 = 31,292.89/x
  3. Step 3: Cross multiply
    20,041.80x = 31,292.89 × 31,292.89
  4. Step 4: Simplify right side
    20,041.80x = 979,245,248.14
  5. Step 5: Solve for x
    x = 979,245,248.14/20,041.80
  6. Step 6: Final answer
    x = 48,860.13

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.