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Finding the Third Proportional to 11,212.88 and 25,844.63

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Solution

The third proportional to 11,212.88 and 25,844.63 is: 59,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.88 : 25,844.63 = 25,844.63 : x
  2. Step 2: Convert to fraction form
    11,212.88/25,844.63 = 25,844.63/x
  3. Step 3: Cross multiply
    11,212.88x = 25,844.63 × 25,844.63
  4. Step 4: Simplify right side
    11,212.88x = 667,944,641.39
  5. Step 5: Solve for x
    x = 667,944,641.39/11,212.88
  6. Step 6: Final answer
    x = 59,569.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.