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Finding the Third Proportional to 4,114.97 and 4,752.84

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Solution

The third proportional to 4,114.97 and 4,752.84 is: 5,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.97 : 4,752.84 = 4,752.84 : x
  2. Step 2: Convert to fraction form
    4,114.97/4,752.84 = 4,752.84/x
  3. Step 3: Cross multiply
    4,114.97x = 4,752.84 × 4,752.84
  4. Step 4: Simplify right side
    4,114.97x = 22,589,523.71
  5. Step 5: Solve for x
    x = 22,589,523.71/4,114.97
  6. Step 6: Final answer
    x = 5,489.60

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.