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Finding the Third Proportional to 35,612 and 75,826

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Solution

The third proportional to 35,612 and 75,826 is: 161,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,612 : 75,826 = 75,826 : x
  2. Step 2: Convert to fraction form
    35,612/75,826 = 75,826/x
  3. Step 3: Cross multiply
    35,612x = 75,826 × 75,826
  4. Step 4: Simplify right side
    35,612x = 5,749,582,276
  5. Step 5: Solve for x
    x = 5,749,582,276/35,612
  6. Step 6: Final answer
    x = 161,450.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.