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Finding the Third Proportional to 11,037.52 and 24,672.09

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Solution

The third proportional to 11,037.52 and 24,672.09 is: 55,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,037.52 : 24,672.09 = 24,672.09 : x
  2. Step 2: Convert to fraction form
    11,037.52/24,672.09 = 24,672.09/x
  3. Step 3: Cross multiply
    11,037.52x = 24,672.09 × 24,672.09
  4. Step 4: Simplify right side
    11,037.52x = 608,712,210.01
  5. Step 5: Solve for x
    x = 608,712,210.01/11,037.52
  6. Step 6: Final answer
    x = 55,149.39

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.