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Finding the Third Proportional to 36,857.50 and 78,974

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Solution

The third proportional to 36,857.50 and 78,974 is: 169,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,857.50 : 78,974 = 78,974 : x
  2. Step 2: Convert to fraction form
    36,857.50/78,974 = 78,974/x
  3. Step 3: Cross multiply
    36,857.50x = 78,974 × 78,974
  4. Step 4: Simplify right side
    36,857.50x = 6,236,892,676
  5. Step 5: Solve for x
    x = 6,236,892,676/36,857.50
  6. Step 6: Final answer
    x = 169,216.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.