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Finding the Third Proportional to 4,244.49 and 9,218.20

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Solution

The third proportional to 4,244.49 and 9,218.20 is: 20,020.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244.49 : 9,218.20 = 9,218.20 : x
  2. Step 2: Convert to fraction form
    4,244.49/9,218.20 = 9,218.20/x
  3. Step 3: Cross multiply
    4,244.49x = 9,218.20 × 9,218.20
  4. Step 4: Simplify right side
    4,244.49x = 84,975,155.76
  5. Step 5: Solve for x
    x = 84,975,155.76/4,244.49
  6. Step 6: Final answer
    x = 20,020.12

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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.