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Finding the Third Proportional to 36,023 and 77,595

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Solution

The third proportional to 36,023 and 77,595 is: 167,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,023 : 77,595 = 77,595 : x
  2. Step 2: Convert to fraction form
    36,023/77,595 = 77,595/x
  3. Step 3: Cross multiply
    36,023x = 77,595 × 77,595
  4. Step 4: Simplify right side
    36,023x = 6,020,984,025
  5. Step 5: Solve for x
    x = 6,020,984,025/36,023
  6. Step 6: Final answer
    x = 167,142.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.