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Finding the Third Proportional to 4,077.84 and 6,114.87

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Solution

The third proportional to 4,077.84 and 6,114.87 is: 9,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.84 : 6,114.87 = 6,114.87 : x
  2. Step 2: Convert to fraction form
    4,077.84/6,114.87 = 6,114.87/x
  3. Step 3: Cross multiply
    4,077.84x = 6,114.87 × 6,114.87
  4. Step 4: Simplify right side
    4,077.84x = 37,391,600.72
  5. Step 5: Solve for x
    x = 37,391,600.72/4,077.84
  6. Step 6: Final answer
    x = 9,169.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.