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Finding the Third Proportional to 7,026.75 and 15,178.22

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Solution

The third proportional to 7,026.75 and 15,178.22 is: 32,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.75 : 15,178.22 = 15,178.22 : x
  2. Step 2: Convert to fraction form
    7,026.75/15,178.22 = 15,178.22/x
  3. Step 3: Cross multiply
    7,026.75x = 15,178.22 × 15,178.22
  4. Step 4: Simplify right side
    7,026.75x = 230,378,324.42
  5. Step 5: Solve for x
    x = 230,378,324.42/7,026.75
  6. Step 6: Final answer
    x = 32,785.90

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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.