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Finding the Third Proportional to 3,685.50 and 7,957.88

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Solution

The third proportional to 3,685.50 and 7,957.88 is: 17,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.50 : 7,957.88 = 7,957.88 : x
  2. Step 2: Convert to fraction form
    3,685.50/7,957.88 = 7,957.88/x
  3. Step 3: Cross multiply
    3,685.50x = 7,957.88 × 7,957.88
  4. Step 4: Simplify right side
    3,685.50x = 63,327,774.52
  5. Step 5: Solve for x
    x = 63,327,774.52/3,685.50
  6. Step 6: Final answer
    x = 17,182.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.