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Finding the Third Proportional to 4,757.34 and 6,761.74

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Solution

The third proportional to 4,757.34 and 6,761.74 is: 9,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.34 : 6,761.74 = 6,761.74 : x
  2. Step 2: Convert to fraction form
    4,757.34/6,761.74 = 6,761.74/x
  3. Step 3: Cross multiply
    4,757.34x = 6,761.74 × 6,761.74
  4. Step 4: Simplify right side
    4,757.34x = 45,721,157.41
  5. Step 5: Solve for x
    x = 45,721,157.41/4,757.34
  6. Step 6: Final answer
    x = 9,610.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.