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Finding the Third Proportional to 24,011.44 and 51,698.25

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Solution

The third proportional to 24,011.44 and 51,698.25 is: 111,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,011.44 : 51,698.25 = 51,698.25 : x
  2. Step 2: Convert to fraction form
    24,011.44/51,698.25 = 51,698.25/x
  3. Step 3: Cross multiply
    24,011.44x = 51,698.25 × 51,698.25
  4. Step 4: Simplify right side
    24,011.44x = 2,672,709,053.06
  5. Step 5: Solve for x
    x = 2,672,709,053.06/24,011.44
  6. Step 6: Final answer
    x = 111,309.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.