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Finding the Third Proportional to 7,586 and 10,612

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Solution

The third proportional to 7,586 and 10,612 is: 14,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586 : 10,612 = 10,612 : x
  2. Step 2: Convert to fraction form
    7,586/10,612 = 10,612/x
  3. Step 3: Cross multiply
    7,586x = 10,612 × 10,612
  4. Step 4: Simplify right side
    7,586x = 112,614,544
  5. Step 5: Solve for x
    x = 112,614,544/7,586
  6. Step 6: Final answer
    x = 14,845.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.