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Finding the Third Proportional to 31,399 and 48,842

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Solution

The third proportional to 31,399 and 48,842 is: 75,975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,399 : 48,842 = 48,842 : x
  2. Step 2: Convert to fraction form
    31,399/48,842 = 48,842/x
  3. Step 3: Cross multiply
    31,399x = 48,842 × 48,842
  4. Step 4: Simplify right side
    31,399x = 2,385,540,964
  5. Step 5: Solve for x
    x = 2,385,540,964/31,399
  6. Step 6: Final answer
    x = 75,975.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.