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Finding the Third Proportional to 31,032 and 47,952

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Solution

The third proportional to 31,032 and 47,952 is: 74,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,032 : 47,952 = 47,952 : x
  2. Step 2: Convert to fraction form
    31,032/47,952 = 47,952/x
  3. Step 3: Cross multiply
    31,032x = 47,952 × 47,952
  4. Step 4: Simplify right side
    31,032x = 2,299,394,304
  5. Step 5: Solve for x
    x = 2,299,394,304/31,032
  6. Step 6: Final answer
    x = 74,097.52

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Why These Related Problems?

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