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Finding the Third Proportional to 20,062 and 31,047

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Solution

The third proportional to 20,062 and 31,047 is: 48,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,062 : 31,047 = 31,047 : x
  2. Step 2: Convert to fraction form
    20,062/31,047 = 31,047/x
  3. Step 3: Cross multiply
    20,062x = 31,047 × 31,047
  4. Step 4: Simplify right side
    20,062x = 963,916,209
  5. Step 5: Solve for x
    x = 963,916,209/20,062
  6. Step 6: Final answer
    x = 48,046.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.