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Finding the Third Proportional to 4,077.84 and 5,535.84

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Solution

The third proportional to 4,077.84 and 5,535.84 is: 7,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.84 : 5,535.84 = 5,535.84 : x
  2. Step 2: Convert to fraction form
    4,077.84/5,535.84 = 5,535.84/x
  3. Step 3: Cross multiply
    4,077.84x = 5,535.84 × 5,535.84
  4. Step 4: Simplify right side
    4,077.84x = 30,645,566.02
  5. Step 5: Solve for x
    x = 30,645,566.02/4,077.84
  6. Step 6: Final answer
    x = 7,515.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.