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Finding the Third Proportional to 31,521 and 47,937

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Solution

The third proportional to 31,521 and 47,937 is: 72,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,521 : 47,937 = 47,937 : x
  2. Step 2: Convert to fraction form
    31,521/47,937 = 47,937/x
  3. Step 3: Cross multiply
    31,521x = 47,937 × 47,937
  4. Step 4: Simplify right side
    31,521x = 2,297,955,969
  5. Step 5: Solve for x
    x = 2,297,955,969/31,521
  6. Step 6: Final answer
    x = 72,902.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.