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Finding the Third Proportional to 35,797 and 77,494

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Solution

The third proportional to 35,797 and 77,494 is: 167,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,797 : 77,494 = 77,494 : x
  2. Step 2: Convert to fraction form
    35,797/77,494 = 77,494/x
  3. Step 3: Cross multiply
    35,797x = 77,494 × 77,494
  4. Step 4: Simplify right side
    35,797x = 6,005,320,036
  5. Step 5: Solve for x
    x = 6,005,320,036/35,797
  6. Step 6: Final answer
    x = 167,760.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.