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Finding the Third Proportional to 17,674.97 and 38,117.44

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Solution

The third proportional to 17,674.97 and 38,117.44 is: 82,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.97 : 38,117.44 = 38,117.44 : x
  2. Step 2: Convert to fraction form
    17,674.97/38,117.44 = 38,117.44/x
  3. Step 3: Cross multiply
    17,674.97x = 38,117.44 × 38,117.44
  4. Step 4: Simplify right side
    17,674.97x = 1,452,939,041.57
  5. Step 5: Solve for x
    x = 1,452,939,041.57/17,674.97
  6. Step 6: Final answer
    x = 82,203.20

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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.