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Finding the Third Proportional to 35,494 and 77,612

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Solution

The third proportional to 35,494 and 77,612 is: 169,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,494 : 77,612 = 77,612 : x
  2. Step 2: Convert to fraction form
    35,494/77,612 = 77,612/x
  3. Step 3: Cross multiply
    35,494x = 77,612 × 77,612
  4. Step 4: Simplify right side
    35,494x = 6,023,622,544
  5. Step 5: Solve for x
    x = 6,023,622,544/35,494
  6. Step 6: Final answer
    x = 169,708.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.