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Finding the Third Proportional to 31,147 and 48,952

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Solution

The third proportional to 31,147 and 48,952 is: 76,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147 : 48,952 = 48,952 : x
  2. Step 2: Convert to fraction form
    31,147/48,952 = 48,952/x
  3. Step 3: Cross multiply
    31,147x = 48,952 × 48,952
  4. Step 4: Simplify right side
    31,147x = 2,396,298,304
  5. Step 5: Solve for x
    x = 2,396,298,304/31,147
  6. Step 6: Final answer
    x = 76,935.12

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Why These Related Problems?

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