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Finding the Third Proportional to 4,114.55 and 5,470.66

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Solution

The third proportional to 4,114.55 and 5,470.66 is: 7,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.55 : 5,470.66 = 5,470.66 : x
  2. Step 2: Convert to fraction form
    4,114.55/5,470.66 = 5,470.66/x
  3. Step 3: Cross multiply
    4,114.55x = 5,470.66 × 5,470.66
  4. Step 4: Simplify right side
    4,114.55x = 29,928,165.28
  5. Step 5: Solve for x
    x = 29,928,165.28/4,114.55
  6. Step 6: Final answer
    x = 7,273.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.