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Finding the Third Proportional to 10,050.33 and 21,976.31

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Solution

The third proportional to 10,050.33 and 21,976.31 is: 48,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050.33 : 21,976.31 = 21,976.31 : x
  2. Step 2: Convert to fraction form
    10,050.33/21,976.31 = 21,976.31/x
  3. Step 3: Cross multiply
    10,050.33x = 21,976.31 × 21,976.31
  4. Step 4: Simplify right side
    10,050.33x = 482,958,311.10
  5. Step 5: Solve for x
    x = 482,958,311.10/10,050.33
  6. Step 6: Final answer
    x = 48,053.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.