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Finding the Third Proportional to 36,024 and 75,702

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Solution

The third proportional to 36,024 and 75,702 is: 159,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024 : 75,702 = 75,702 : x
  2. Step 2: Convert to fraction form
    36,024/75,702 = 75,702/x
  3. Step 3: Cross multiply
    36,024x = 75,702 × 75,702
  4. Step 4: Simplify right side
    36,024x = 5,730,792,804
  5. Step 5: Solve for x
    x = 5,730,792,804/36,024
  6. Step 6: Final answer
    x = 159,082.63

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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.