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Finding the Third Proportional to 11,382.47 and 23,216.63

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Solution

The third proportional to 11,382.47 and 23,216.63 is: 47,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.47 : 23,216.63 = 23,216.63 : x
  2. Step 2: Convert to fraction form
    11,382.47/23,216.63 = 23,216.63/x
  3. Step 3: Cross multiply
    11,382.47x = 23,216.63 × 23,216.63
  4. Step 4: Simplify right side
    11,382.47x = 539,011,676.39
  5. Step 5: Solve for x
    x = 539,011,676.39/11,382.47
  6. Step 6: Final answer
    x = 47,354.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.