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Finding the Third Proportional to 11,147.63 and 24,046.88

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Solution

The third proportional to 11,147.63 and 24,046.88 is: 51,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.63 : 24,046.88 = 24,046.88 : x
  2. Step 2: Convert to fraction form
    11,147.63/24,046.88 = 24,046.88/x
  3. Step 3: Cross multiply
    11,147.63x = 24,046.88 × 24,046.88
  4. Step 4: Simplify right side
    11,147.63x = 578,252,197.27
  5. Step 5: Solve for x
    x = 578,252,197.27/11,147.63
  6. Step 6: Final answer
    x = 51,872.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.