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Finding the Third Proportional to 5,867.72 and 12,657.09

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Solution

The third proportional to 5,867.72 and 12,657.09 is: 27,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.72 : 12,657.09 = 12,657.09 : x
  2. Step 2: Convert to fraction form
    5,867.72/12,657.09 = 12,657.09/x
  3. Step 3: Cross multiply
    5,867.72x = 12,657.09 × 12,657.09
  4. Step 4: Simplify right side
    5,867.72x = 160,202,022.20
  5. Step 5: Solve for x
    x = 160,202,022.20/5,867.72
  6. Step 6: Final answer
    x = 27,302.27

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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.