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Finding the Third Proportional to 5,377.78 and 11,579.63

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Solution

The third proportional to 5,377.78 and 11,579.63 is: 24,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.78 : 11,579.63 = 11,579.63 : x
  2. Step 2: Convert to fraction form
    5,377.78/11,579.63 = 11,579.63/x
  3. Step 3: Cross multiply
    5,377.78x = 11,579.63 × 11,579.63
  4. Step 4: Simplify right side
    5,377.78x = 134,087,715.14
  5. Step 5: Solve for x
    x = 134,087,715.14/5,377.78
  6. Step 6: Final answer
    x = 24,933.65

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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.