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Finding the Third Proportional to 3,348 and 7,132.50

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Solution

The third proportional to 3,348 and 7,132.50 is: 15,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348 : 7,132.50 = 7,132.50 : x
  2. Step 2: Convert to fraction form
    3,348/7,132.50 = 7,132.50/x
  3. Step 3: Cross multiply
    3,348x = 7,132.50 × 7,132.50
  4. Step 4: Simplify right side
    3,348x = 50,872,556.25
  5. Step 5: Solve for x
    x = 50,872,556.25/3,348
  6. Step 6: Final answer
    x = 15,194.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.