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Finding the Third Proportional to 4,010.92 and 6,242.77

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Solution

The third proportional to 4,010.92 and 6,242.77 is: 9,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010.92 : 6,242.77 = 6,242.77 : x
  2. Step 2: Convert to fraction form
    4,010.92/6,242.77 = 6,242.77/x
  3. Step 3: Cross multiply
    4,010.92x = 6,242.77 × 6,242.77
  4. Step 4: Simplify right side
    4,010.92x = 38,972,232.38
  5. Step 5: Solve for x
    x = 38,972,232.38/4,010.92
  6. Step 6: Final answer
    x = 9,716.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.