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Finding the Third Proportional to 22,874.50 and 36,529

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Solution

The third proportional to 22,874.50 and 36,529 is: 58,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.50 : 36,529 = 36,529 : x
  2. Step 2: Convert to fraction form
    22,874.50/36,529 = 36,529/x
  3. Step 3: Cross multiply
    22,874.50x = 36,529 × 36,529
  4. Step 4: Simplify right side
    22,874.50x = 1,334,367,841
  5. Step 5: Solve for x
    x = 1,334,367,841/22,874.50
  6. Step 6: Final answer
    x = 58,334.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.