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Finding the Third Proportional to 4,178.53 and 9,177.23

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Solution

The third proportional to 4,178.53 and 9,177.23 is: 20,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.53 : 9,177.23 = 9,177.23 : x
  2. Step 2: Convert to fraction form
    4,178.53/9,177.23 = 9,177.23/x
  3. Step 3: Cross multiply
    4,178.53x = 9,177.23 × 9,177.23
  4. Step 4: Simplify right side
    4,178.53x = 84,221,630.77
  5. Step 5: Solve for x
    x = 84,221,630.77/4,178.53
  6. Step 6: Final answer
    x = 20,155.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.