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Finding the Third Proportional to 20,732.84 and 31,272.96

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Solution

The third proportional to 20,732.84 and 31,272.96 is: 47,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732.84 : 31,272.96 = 31,272.96 : x
  2. Step 2: Convert to fraction form
    20,732.84/31,272.96 = 31,272.96/x
  3. Step 3: Cross multiply
    20,732.84x = 31,272.96 × 31,272.96
  4. Step 4: Simplify right side
    20,732.84x = 977,998,085.80
  5. Step 5: Solve for x
    x = 977,998,085.80/20,732.84
  6. Step 6: Final answer
    x = 47,171.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.