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Finding the Third Proportional to 8,295.75 and 17,442

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Solution

The third proportional to 8,295.75 and 17,442 is: 36,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.75 : 17,442 = 17,442 : x
  2. Step 2: Convert to fraction form
    8,295.75/17,442 = 17,442/x
  3. Step 3: Cross multiply
    8,295.75x = 17,442 × 17,442
  4. Step 4: Simplify right side
    8,295.75x = 304,223,364
  5. Step 5: Solve for x
    x = 304,223,364/8,295.75
  6. Step 6: Final answer
    x = 36,672.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.