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Finding the Third Proportional to 4,165.17 and 4,882.78

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Solution

The third proportional to 4,165.17 and 4,882.78 is: 5,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.17 : 4,882.78 = 4,882.78 : x
  2. Step 2: Convert to fraction form
    4,165.17/4,882.78 = 4,882.78/x
  3. Step 3: Cross multiply
    4,165.17x = 4,882.78 × 4,882.78
  4. Step 4: Simplify right side
    4,165.17x = 23,841,552.74
  5. Step 5: Solve for x
    x = 23,841,552.74/4,165.17
  6. Step 6: Final answer
    x = 5,724.03

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.