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Finding the Third Proportional to 11,339.16 and 24,619.78

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Solution

The third proportional to 11,339.16 and 24,619.78 is: 53,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.16 : 24,619.78 = 24,619.78 : x
  2. Step 2: Convert to fraction form
    11,339.16/24,619.78 = 24,619.78/x
  3. Step 3: Cross multiply
    11,339.16x = 24,619.78 × 24,619.78
  4. Step 4: Simplify right side
    11,339.16x = 606,133,628.80
  5. Step 5: Solve for x
    x = 606,133,628.80/11,339.16
  6. Step 6: Final answer
    x = 53,454.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.