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Finding the Third Proportional to 35,949 and 75,624

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Solution

The third proportional to 35,949 and 75,624 is: 159,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,949 : 75,624 = 75,624 : x
  2. Step 2: Convert to fraction form
    35,949/75,624 = 75,624/x
  3. Step 3: Cross multiply
    35,949x = 75,624 × 75,624
  4. Step 4: Simplify right side
    35,949x = 5,718,989,376
  5. Step 5: Solve for x
    x = 5,718,989,376/35,949
  6. Step 6: Final answer
    x = 159,086.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.