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Finding the Third Proportional to 31,169 and 49,395

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Solution

The third proportional to 31,169 and 49,395 is: 78,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169 : 49,395 = 49,395 : x
  2. Step 2: Convert to fraction form
    31,169/49,395 = 49,395/x
  3. Step 3: Cross multiply
    31,169x = 49,395 × 49,395
  4. Step 4: Simplify right side
    31,169x = 2,439,866,025
  5. Step 5: Solve for x
    x = 2,439,866,025/31,169
  6. Step 6: Final answer
    x = 78,278.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.