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Finding the Third Proportional to 14,801 and 31,708

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Solution

The third proportional to 14,801 and 31,708 is: 67,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801 : 31,708 = 31,708 : x
  2. Step 2: Convert to fraction form
    14,801/31,708 = 31,708/x
  3. Step 3: Cross multiply
    14,801x = 31,708 × 31,708
  4. Step 4: Simplify right side
    14,801x = 1,005,397,264
  5. Step 5: Solve for x
    x = 1,005,397,264/14,801
  6. Step 6: Final answer
    x = 67,927.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.