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Finding the Third Proportional to 31,483 and 49,138

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Solution

The third proportional to 31,483 and 49,138 is: 76,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483 : 49,138 = 49,138 : x
  2. Step 2: Convert to fraction form
    31,483/49,138 = 49,138/x
  3. Step 3: Cross multiply
    31,483x = 49,138 × 49,138
  4. Step 4: Simplify right side
    31,483x = 2,414,543,044
  5. Step 5: Solve for x
    x = 2,414,543,044/31,483
  6. Step 6: Final answer
    x = 76,693.55

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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.