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Finding the Third Proportional to 4,385.25 and 9,867.38

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Solution

The third proportional to 4,385.25 and 9,867.38 is: 22,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.25 : 9,867.38 = 9,867.38 : x
  2. Step 2: Convert to fraction form
    4,385.25/9,867.38 = 9,867.38/x
  3. Step 3: Cross multiply
    4,385.25x = 9,867.38 × 9,867.38
  4. Step 4: Simplify right side
    4,385.25x = 97,365,089.39
  5. Step 5: Solve for x
    x = 97,365,089.39/4,385.25
  6. Step 6: Final answer
    x = 22,202.86

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.