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Finding the Third Proportional to 3,746 and 8,139.88

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Solution

The third proportional to 3,746 and 8,139.88 is: 17,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746 : 8,139.88 = 8,139.88 : x
  2. Step 2: Convert to fraction form
    3,746/8,139.88 = 8,139.88/x
  3. Step 3: Cross multiply
    3,746x = 8,139.88 × 8,139.88
  4. Step 4: Simplify right side
    3,746x = 66,257,565.02
  5. Step 5: Solve for x
    x = 66,257,565.02/3,746
  6. Step 6: Final answer
    x = 17,687.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.