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Finding the Third Proportional to 36,472 and 75,719

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Solution

The third proportional to 36,472 and 75,719 is: 157,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,472 : 75,719 = 75,719 : x
  2. Step 2: Convert to fraction form
    36,472/75,719 = 75,719/x
  3. Step 3: Cross multiply
    36,472x = 75,719 × 75,719
  4. Step 4: Simplify right side
    36,472x = 5,733,366,961
  5. Step 5: Solve for x
    x = 5,733,366,961/36,472
  6. Step 6: Final answer
    x = 157,199.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.