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Finding the Third Proportional to 4,775.75 and 6,240.56

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Solution

The third proportional to 4,775.75 and 6,240.56 is: 8,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.75 : 6,240.56 = 6,240.56 : x
  2. Step 2: Convert to fraction form
    4,775.75/6,240.56 = 6,240.56/x
  3. Step 3: Cross multiply
    4,775.75x = 6,240.56 × 6,240.56
  4. Step 4: Simplify right side
    4,775.75x = 38,944,620.32
  5. Step 5: Solve for x
    x = 38,944,620.32/4,775.75
  6. Step 6: Final answer
    x = 8,154.66

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.