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Finding the Third Proportional to 7,864 and 8,971

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Solution

The third proportional to 7,864 and 8,971 is: 10,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864 : 8,971 = 8,971 : x
  2. Step 2: Convert to fraction form
    7,864/8,971 = 8,971/x
  3. Step 3: Cross multiply
    7,864x = 8,971 × 8,971
  4. Step 4: Simplify right side
    7,864x = 80,478,841
  5. Step 5: Solve for x
    x = 80,478,841/7,864
  6. Step 6: Final answer
    x = 10,233.83

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.