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Finding the Third Proportional to 5,761.13 and 13,138.88

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Solution

The third proportional to 5,761.13 and 13,138.88 is: 29,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.13 : 13,138.88 = 13,138.88 : x
  2. Step 2: Convert to fraction form
    5,761.13/13,138.88 = 13,138.88/x
  3. Step 3: Cross multiply
    5,761.13x = 13,138.88 × 13,138.88
  4. Step 4: Simplify right side
    5,761.13x = 172,630,036.27
  5. Step 5: Solve for x
    x = 172,630,036.27/5,761.13
  6. Step 6: Final answer
    x = 29,964.64

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.