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Finding the Third Proportional to 3,456 and 5,248.13

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Solution

The third proportional to 3,456 and 5,248.13 is: 7,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 5,248.13 = 5,248.13 : x
  2. Step 2: Convert to fraction form
    3,456/5,248.13 = 5,248.13/x
  3. Step 3: Cross multiply
    3,456x = 5,248.13 × 5,248.13
  4. Step 4: Simplify right side
    3,456x = 27,542,816.02
  5. Step 5: Solve for x
    x = 27,542,816.02/3,456
  6. Step 6: Final answer
    x = 7,969.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.