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Finding the Third Proportional to 8,034 and 11,037

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Solution

The third proportional to 8,034 and 11,037 is: 15,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034 : 11,037 = 11,037 : x
  2. Step 2: Convert to fraction form
    8,034/11,037 = 11,037/x
  3. Step 3: Cross multiply
    8,034x = 11,037 × 11,037
  4. Step 4: Simplify right side
    8,034x = 121,815,369
  5. Step 5: Solve for x
    x = 121,815,369/8,034
  6. Step 6: Final answer
    x = 15,162.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.