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Finding the Third Proportional to 36,516 and 74,762

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Solution

The third proportional to 36,516 and 74,762 is: 153,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,516 : 74,762 = 74,762 : x
  2. Step 2: Convert to fraction form
    36,516/74,762 = 74,762/x
  3. Step 3: Cross multiply
    36,516x = 74,762 × 74,762
  4. Step 4: Simplify right side
    36,516x = 5,589,356,644
  5. Step 5: Solve for x
    x = 5,589,356,644/36,516
  6. Step 6: Final answer
    x = 153,065.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.