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Finding the Third Proportional to 20,385 and 31,342.50

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Solution

The third proportional to 20,385 and 31,342.50 is: 48,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,385 : 31,342.50 = 31,342.50 : x
  2. Step 2: Convert to fraction form
    20,385/31,342.50 = 31,342.50/x
  3. Step 3: Cross multiply
    20,385x = 31,342.50 × 31,342.50
  4. Step 4: Simplify right side
    20,385x = 982,352,306.25
  5. Step 5: Solve for x
    x = 982,352,306.25/20,385
  6. Step 6: Final answer
    x = 48,189.96

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