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Finding the Third Proportional to 10,868.44 and 22,904.44

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Solution

The third proportional to 10,868.44 and 22,904.44 is: 48,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868.44 : 22,904.44 = 22,904.44 : x
  2. Step 2: Convert to fraction form
    10,868.44/22,904.44 = 22,904.44/x
  3. Step 3: Cross multiply
    10,868.44x = 22,904.44 × 22,904.44
  4. Step 4: Simplify right side
    10,868.44x = 524,613,257.19
  5. Step 5: Solve for x
    x = 524,613,257.19/10,868.44
  6. Step 6: Final answer
    x = 48,269.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.