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Finding the Third Proportional to 3,248.23 and 7,015.78

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Solution

The third proportional to 3,248.23 and 7,015.78 is: 15,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.23 : 7,015.78 = 7,015.78 : x
  2. Step 2: Convert to fraction form
    3,248.23/7,015.78 = 7,015.78/x
  3. Step 3: Cross multiply
    3,248.23x = 7,015.78 × 7,015.78
  4. Step 4: Simplify right side
    3,248.23x = 49,221,186.55
  5. Step 5: Solve for x
    x = 49,221,186.55/3,248.23
  6. Step 6: Final answer
    x = 15,153.25

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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.