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Finding the Third Proportional to 7,867.13 and 10,676.81

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Solution

The third proportional to 7,867.13 and 10,676.81 is: 14,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.13 : 10,676.81 = 10,676.81 : x
  2. Step 2: Convert to fraction form
    7,867.13/10,676.81 = 10,676.81/x
  3. Step 3: Cross multiply
    7,867.13x = 10,676.81 × 10,676.81
  4. Step 4: Simplify right side
    7,867.13x = 113,994,325.16
  5. Step 5: Solve for x
    x = 113,994,325.16/7,867.13
  6. Step 6: Final answer
    x = 14,489.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.