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Finding the Third Proportional to 31,099.50 and 48,031

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Solution

The third proportional to 31,099.50 and 48,031 is: 74,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.50 : 48,031 = 48,031 : x
  2. Step 2: Convert to fraction form
    31,099.50/48,031 = 48,031/x
  3. Step 3: Cross multiply
    31,099.50x = 48,031 × 48,031
  4. Step 4: Simplify right side
    31,099.50x = 2,306,976,961
  5. Step 5: Solve for x
    x = 2,306,976,961/31,099.50
  6. Step 6: Final answer
    x = 74,180.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.