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Finding the Third Proportional to 31,527 and 66,901

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Solution

The third proportional to 31,527 and 66,901 is: 141,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527 : 66,901 = 66,901 : x
  2. Step 2: Convert to fraction form
    31,527/66,901 = 66,901/x
  3. Step 3: Cross multiply
    31,527x = 66,901 × 66,901
  4. Step 4: Simplify right side
    31,527x = 4,475,743,801
  5. Step 5: Solve for x
    x = 4,475,743,801/31,527
  6. Step 6: Final answer
    x = 141,965.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.