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Finding the Third Proportional to 17,540 and 37,540

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Solution

The third proportional to 17,540 and 37,540 is: 80,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540 : 37,540 = 37,540 : x
  2. Step 2: Convert to fraction form
    17,540/37,540 = 37,540/x
  3. Step 3: Cross multiply
    17,540x = 37,540 × 37,540
  4. Step 4: Simplify right side
    17,540x = 1,409,251,600
  5. Step 5: Solve for x
    x = 1,409,251,600/17,540
  6. Step 6: Final answer
    x = 80,345.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.