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Finding the Third Proportional to 8,052.19 and 17,295.19

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Solution

The third proportional to 8,052.19 and 17,295.19 is: 37,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.19 : 17,295.19 = 17,295.19 : x
  2. Step 2: Convert to fraction form
    8,052.19/17,295.19 = 17,295.19/x
  3. Step 3: Cross multiply
    8,052.19x = 17,295.19 × 17,295.19
  4. Step 4: Simplify right side
    8,052.19x = 299,123,510.66
  5. Step 5: Solve for x
    x = 299,123,510.66/8,052.19
  6. Step 6: Final answer
    x = 37,148.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.