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Finding the Third Proportional to 24,275.25 and 33,222.38

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Solution

The third proportional to 24,275.25 and 33,222.38 is: 45,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,275.25 : 33,222.38 = 33,222.38 : x
  2. Step 2: Convert to fraction form
    24,275.25/33,222.38 = 33,222.38/x
  3. Step 3: Cross multiply
    24,275.25x = 33,222.38 × 33,222.38
  4. Step 4: Simplify right side
    24,275.25x = 1,103,726,200.64
  5. Step 5: Solve for x
    x = 1,103,726,200.64/24,275.25
  6. Step 6: Final answer
    x = 45,467.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.