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Finding the Third Proportional to 7,867.13 and 15,889.92

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Solution

The third proportional to 7,867.13 and 15,889.92 is: 32,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.13 : 15,889.92 = 15,889.92 : x
  2. Step 2: Convert to fraction form
    7,867.13/15,889.92 = 15,889.92/x
  3. Step 3: Cross multiply
    7,867.13x = 15,889.92 × 15,889.92
  4. Step 4: Simplify right side
    7,867.13x = 252,489,617.19
  5. Step 5: Solve for x
    x = 252,489,617.19/7,867.13
  6. Step 6: Final answer
    x = 32,094.27

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.