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Finding the Third Proportional to 7,864 and 10,210

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Solution

The third proportional to 7,864 and 10,210 is: 13,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864 : 10,210 = 10,210 : x
  2. Step 2: Convert to fraction form
    7,864/10,210 = 10,210/x
  3. Step 3: Cross multiply
    7,864x = 10,210 × 10,210
  4. Step 4: Simplify right side
    7,864x = 104,244,100
  5. Step 5: Solve for x
    x = 104,244,100/7,864
  6. Step 6: Final answer
    x = 13,255.86

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.