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Finding the Third Proportional to 3,024.69 and 6,535.85

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Solution

The third proportional to 3,024.69 and 6,535.85 is: 14,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.69 : 6,535.85 = 6,535.85 : x
  2. Step 2: Convert to fraction form
    3,024.69/6,535.85 = 6,535.85/x
  3. Step 3: Cross multiply
    3,024.69x = 6,535.85 × 6,535.85
  4. Step 4: Simplify right side
    3,024.69x = 42,717,279.06
  5. Step 5: Solve for x
    x = 42,717,279.06/3,024.69
  6. Step 6: Final answer
    x = 14,122.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.