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Finding the Third Proportional to 7,612 and 10,770

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Solution

The third proportional to 7,612 and 10,770 is: 15,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612 : 10,770 = 10,770 : x
  2. Step 2: Convert to fraction form
    7,612/10,770 = 10,770/x
  3. Step 3: Cross multiply
    7,612x = 10,770 × 10,770
  4. Step 4: Simplify right side
    7,612x = 115,992,900
  5. Step 5: Solve for x
    x = 115,992,900/7,612
  6. Step 6: Final answer
    x = 15,238.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.