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Finding the Third Proportional to 35,593 and 75,578

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Solution

The third proportional to 35,593 and 75,578 is: 160,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,593 : 75,578 = 75,578 : x
  2. Step 2: Convert to fraction form
    35,593/75,578 = 75,578/x
  3. Step 3: Cross multiply
    35,593x = 75,578 × 75,578
  4. Step 4: Simplify right side
    35,593x = 5,712,034,084
  5. Step 5: Solve for x
    x = 5,712,034,084/35,593
  6. Step 6: Final answer
    x = 160,481.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.