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Finding the Third Proportional to 31,448 and 41,988

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Solution

The third proportional to 31,448 and 41,988 is: 56,060.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,448 : 41,988 = 41,988 : x
  2. Step 2: Convert to fraction form
    31,448/41,988 = 41,988/x
  3. Step 3: Cross multiply
    31,448x = 41,988 × 41,988
  4. Step 4: Simplify right side
    31,448x = 1,762,992,144
  5. Step 5: Solve for x
    x = 1,762,992,144/31,448
  6. Step 6: Final answer
    x = 56,060.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.