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Finding the Third Proportional to 31,706 and 49,283

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Solution

The third proportional to 31,706 and 49,283 is: 76,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706 : 49,283 = 49,283 : x
  2. Step 2: Convert to fraction form
    31,706/49,283 = 49,283/x
  3. Step 3: Cross multiply
    31,706x = 49,283 × 49,283
  4. Step 4: Simplify right side
    31,706x = 2,428,814,089
  5. Step 5: Solve for x
    x = 2,428,814,089/31,706
  6. Step 6: Final answer
    x = 76,604.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.