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Finding the Third Proportional to 2,242.69 and 4,834.69

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Solution

The third proportional to 2,242.69 and 4,834.69 is: 10,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.69 : 4,834.69 = 4,834.69 : x
  2. Step 2: Convert to fraction form
    2,242.69/4,834.69 = 4,834.69/x
  3. Step 3: Cross multiply
    2,242.69x = 4,834.69 × 4,834.69
  4. Step 4: Simplify right side
    2,242.69x = 23,374,203.22
  5. Step 5: Solve for x
    x = 23,374,203.22/2,242.69
  6. Step 6: Final answer
    x = 10,422.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.