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Finding the Third Proportional to 31,000 and 44,988

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Solution

The third proportional to 31,000 and 44,988 is: 65,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000 : 44,988 = 44,988 : x
  2. Step 2: Convert to fraction form
    31,000/44,988 = 44,988/x
  3. Step 3: Cross multiply
    31,000x = 44,988 × 44,988
  4. Step 4: Simplify right side
    31,000x = 2,023,920,144
  5. Step 5: Solve for x
    x = 2,023,920,144/31,000
  6. Step 6: Final answer
    x = 65,287.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.