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Finding the Third Proportional to 8,219.53 and 17,752.78

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Solution

The third proportional to 8,219.53 and 17,752.78 is: 38,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.53 : 17,752.78 = 17,752.78 : x
  2. Step 2: Convert to fraction form
    8,219.53/17,752.78 = 17,752.78/x
  3. Step 3: Cross multiply
    8,219.53x = 17,752.78 × 17,752.78
  4. Step 4: Simplify right side
    8,219.53x = 315,161,242.11
  5. Step 5: Solve for x
    x = 315,161,242.11/8,219.53
  6. Step 6: Final answer
    x = 38,342.97

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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.