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Finding the Third Proportional to 2,242.97 and 4,911.19

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Solution

The third proportional to 2,242.97 and 4,911.19 is: 10,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.97 : 4,911.19 = 4,911.19 : x
  2. Step 2: Convert to fraction form
    2,242.97/4,911.19 = 4,911.19/x
  3. Step 3: Cross multiply
    2,242.97x = 4,911.19 × 4,911.19
  4. Step 4: Simplify right side
    2,242.97x = 24,119,762.66
  5. Step 5: Solve for x
    x = 24,119,762.66/2,242.97
  6. Step 6: Final answer
    x = 10,753.50

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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.