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Finding the Third Proportional to 2,242.69 and 4,327.17

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Solution

The third proportional to 2,242.69 and 4,327.17 is: 8,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.69 : 4,327.17 = 4,327.17 : x
  2. Step 2: Convert to fraction form
    2,242.69/4,327.17 = 4,327.17/x
  3. Step 3: Cross multiply
    2,242.69x = 4,327.17 × 4,327.17
  4. Step 4: Simplify right side
    2,242.69x = 18,724,416.44
  5. Step 5: Solve for x
    x = 18,724,416.44/2,242.69
  6. Step 6: Final answer
    x = 8,349.10

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.