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Finding the Third Proportional to 7,741 and 8,875

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Solution

The third proportional to 7,741 and 8,875 is: 10,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741 : 8,875 = 8,875 : x
  2. Step 2: Convert to fraction form
    7,741/8,875 = 8,875/x
  3. Step 3: Cross multiply
    7,741x = 8,875 × 8,875
  4. Step 4: Simplify right side
    7,741x = 78,765,625
  5. Step 5: Solve for x
    x = 78,765,625/7,741
  6. Step 6: Final answer
    x = 10,175.12

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.