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Finding the Third Proportional to 27,519.75 and 36,715.78

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Solution

The third proportional to 27,519.75 and 36,715.78 is: 48,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,519.75 : 36,715.78 = 36,715.78 : x
  2. Step 2: Convert to fraction form
    27,519.75/36,715.78 = 36,715.78/x
  3. Step 3: Cross multiply
    27,519.75x = 36,715.78 × 36,715.78
  4. Step 4: Simplify right side
    27,519.75x = 1,348,048,592.80
  5. Step 5: Solve for x
    x = 1,348,048,592.80/27,519.75
  6. Step 6: Final answer
    x = 48,984.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.