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Finding the Third Proportional to 11,557.69 and 30,154.78

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Solution

The third proportional to 11,557.69 and 30,154.78 is: 78,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.69 : 30,154.78 = 30,154.78 : x
  2. Step 2: Convert to fraction form
    11,557.69/30,154.78 = 30,154.78/x
  3. Step 3: Cross multiply
    11,557.69x = 30,154.78 × 30,154.78
  4. Step 4: Simplify right side
    11,557.69x = 909,310,832.24
  5. Step 5: Solve for x
    x = 909,310,832.24/11,557.69
  6. Step 6: Final answer
    x = 78,675.85

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.