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Finding the Third Proportional to 36,715.78 and 51,538.78

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Solution

The third proportional to 36,715.78 and 51,538.78 is: 72,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,715.78 : 51,538.78 = 51,538.78 : x
  2. Step 2: Convert to fraction form
    36,715.78/51,538.78 = 51,538.78/x
  3. Step 3: Cross multiply
    36,715.78x = 51,538.78 × 51,538.78
  4. Step 4: Simplify right side
    36,715.78x = 2,656,245,972.74
  5. Step 5: Solve for x
    x = 2,656,245,972.74/36,715.78
  6. Step 6: Final answer
    x = 72,346.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.