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Finding the Third Proportional to 31,901 and 66,426

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Solution

The third proportional to 31,901 and 66,426 is: 138,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901 : 66,426 = 66,426 : x
  2. Step 2: Convert to fraction form
    31,901/66,426 = 66,426/x
  3. Step 3: Cross multiply
    31,901x = 66,426 × 66,426
  4. Step 4: Simplify right side
    31,901x = 4,412,413,476
  5. Step 5: Solve for x
    x = 4,412,413,476/31,901
  6. Step 6: Final answer
    x = 138,315.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.