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Finding the Third Proportional to 31,154 and 49,595

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Solution

The third proportional to 31,154 and 49,595 is: 78,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154 : 49,595 = 49,595 : x
  2. Step 2: Convert to fraction form
    31,154/49,595 = 49,595/x
  3. Step 3: Cross multiply
    31,154x = 49,595 × 49,595
  4. Step 4: Simplify right side
    31,154x = 2,459,664,025
  5. Step 5: Solve for x
    x = 2,459,664,025/31,154
  6. Step 6: Final answer
    x = 78,951.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.