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Finding the Third Proportional to 2,281.61 and 5,058.54

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Solution

The third proportional to 2,281.61 and 5,058.54 is: 11,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.61 : 5,058.54 = 5,058.54 : x
  2. Step 2: Convert to fraction form
    2,281.61/5,058.54 = 5,058.54/x
  3. Step 3: Cross multiply
    2,281.61x = 5,058.54 × 5,058.54
  4. Step 4: Simplify right side
    2,281.61x = 25,588,876.73
  5. Step 5: Solve for x
    x = 25,588,876.73/2,281.61
  6. Step 6: Final answer
    x = 11,215.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.