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Finding the Third Proportional to 36,724 and 75,621

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Solution

The third proportional to 36,724 and 75,621 is: 155,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,724 : 75,621 = 75,621 : x
  2. Step 2: Convert to fraction form
    36,724/75,621 = 75,621/x
  3. Step 3: Cross multiply
    36,724x = 75,621 × 75,621
  4. Step 4: Simplify right side
    36,724x = 5,718,535,641
  5. Step 5: Solve for x
    x = 5,718,535,641/36,724
  6. Step 6: Final answer
    x = 155,716.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.