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Finding the Third Proportional to 3,248.34 and 7,016.38

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Solution

The third proportional to 3,248.34 and 7,016.38 is: 15,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.34 : 7,016.38 = 7,016.38 : x
  2. Step 2: Convert to fraction form
    3,248.34/7,016.38 = 7,016.38/x
  3. Step 3: Cross multiply
    3,248.34x = 7,016.38 × 7,016.38
  4. Step 4: Simplify right side
    3,248.34x = 49,229,518.14
  5. Step 5: Solve for x
    x = 49,229,518.14/3,248.34
  6. Step 6: Final answer
    x = 15,155.27

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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.