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Finding the Third Proportional to 31,017 and 44,302

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Solution

The third proportional to 31,017 and 44,302 is: 63,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017 : 44,302 = 44,302 : x
  2. Step 2: Convert to fraction form
    31,017/44,302 = 44,302/x
  3. Step 3: Cross multiply
    31,017x = 44,302 × 44,302
  4. Step 4: Simplify right side
    31,017x = 1,962,667,204
  5. Step 5: Solve for x
    x = 1,962,667,204/31,017
  6. Step 6: Final answer
    x = 63,277.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.