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Finding the Third Proportional to 1,540 and 3,292

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Solution

The third proportional to 1,540 and 3,292 is: 7,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540 : 3,292 = 3,292 : x
  2. Step 2: Convert to fraction form
    1,540/3,292 = 3,292/x
  3. Step 3: Cross multiply
    1,540x = 3,292 × 3,292
  4. Step 4: Simplify right side
    1,540x = 10,837,264
  5. Step 5: Solve for x
    x = 10,837,264/1,540
  6. Step 6: Final answer
    x = 7,037.18

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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.