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Finding the Third Proportional to 8,677.13 and 10,185.75

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Solution

The third proportional to 8,677.13 and 10,185.75 is: 11,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.13 : 10,185.75 = 10,185.75 : x
  2. Step 2: Convert to fraction form
    8,677.13/10,185.75 = 10,185.75/x
  3. Step 3: Cross multiply
    8,677.13x = 10,185.75 × 10,185.75
  4. Step 4: Simplify right side
    8,677.13x = 103,749,503.06
  5. Step 5: Solve for x
    x = 103,749,503.06/8,677.13
  6. Step 6: Final answer
    x = 11,956.67

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.