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Finding the Third Proportional to 8,195.24 and 17,585.23

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Solution

The third proportional to 8,195.24 and 17,585.23 is: 37,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.24 : 17,585.23 = 17,585.23 : x
  2. Step 2: Convert to fraction form
    8,195.24/17,585.23 = 17,585.23/x
  3. Step 3: Cross multiply
    8,195.24x = 17,585.23 × 17,585.23
  4. Step 4: Simplify right side
    8,195.24x = 309,240,193.25
  5. Step 5: Solve for x
    x = 309,240,193.25/8,195.24
  6. Step 6: Final answer
    x = 37,734.13

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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.