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Finding the Third Proportional to 5,854.78 and 13,042.27

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Solution

The third proportional to 5,854.78 and 13,042.27 is: 29,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.78 : 13,042.27 = 13,042.27 : x
  2. Step 2: Convert to fraction form
    5,854.78/13,042.27 = 13,042.27/x
  3. Step 3: Cross multiply
    5,854.78x = 13,042.27 × 13,042.27
  4. Step 4: Simplify right side
    5,854.78x = 170,100,692.63
  5. Step 5: Solve for x
    x = 170,100,692.63/5,854.78
  6. Step 6: Final answer
    x = 29,053.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.