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Finding the Third Proportional to 3,058.38 and 7,215.96

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Solution

The third proportional to 3,058.38 and 7,215.96 is: 17,025.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.38 : 7,215.96 = 7,215.96 : x
  2. Step 2: Convert to fraction form
    3,058.38/7,215.96 = 7,215.96/x
  3. Step 3: Cross multiply
    3,058.38x = 7,215.96 × 7,215.96
  4. Step 4: Simplify right side
    3,058.38x = 52,070,092.25
  5. Step 5: Solve for x
    x = 52,070,092.25/3,058.38
  6. Step 6: Final answer
    x = 17,025.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.