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Finding the Third Proportional to 2,217.38 and 4,262.63

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Solution

The third proportional to 2,217.38 and 4,262.63 is: 8,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.38 : 4,262.63 = 4,262.63 : x
  2. Step 2: Convert to fraction form
    2,217.38/4,262.63 = 4,262.63/x
  3. Step 3: Cross multiply
    2,217.38x = 4,262.63 × 4,262.63
  4. Step 4: Simplify right side
    2,217.38x = 18,169,971.89
  5. Step 5: Solve for x
    x = 18,169,971.89/2,217.38
  6. Step 6: Final answer
    x = 8,194.36

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.