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Finding the Third Proportional to 4,327.50 and 9,456.38

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Solution

The third proportional to 4,327.50 and 9,456.38 is: 20,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.50 : 9,456.38 = 9,456.38 : x
  2. Step 2: Convert to fraction form
    4,327.50/9,456.38 = 9,456.38/x
  3. Step 3: Cross multiply
    4,327.50x = 9,456.38 × 9,456.38
  4. Step 4: Simplify right side
    4,327.50x = 89,423,028.14
  5. Step 5: Solve for x
    x = 89,423,028.14/4,327.50
  6. Step 6: Final answer
    x = 20,663.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.