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Finding the Third Proportional to 24,009.75 and 51,866.38

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Solution

The third proportional to 24,009.75 and 51,866.38 is: 112,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009.75 : 51,866.38 = 51,866.38 : x
  2. Step 2: Convert to fraction form
    24,009.75/51,866.38 = 51,866.38/x
  3. Step 3: Cross multiply
    24,009.75x = 51,866.38 × 51,866.38
  4. Step 4: Simplify right side
    24,009.75x = 2,690,120,855.64
  5. Step 5: Solve for x
    x = 2,690,120,855.64/24,009.75
  6. Step 6: Final answer
    x = 112,042.85

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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.