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Finding the Third Proportional to 22,788 and 47,879.44

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Solution

The third proportional to 22,788 and 47,879.44 is: 100,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,788 : 47,879.44 = 47,879.44 : x
  2. Step 2: Convert to fraction form
    22,788/47,879.44 = 47,879.44/x
  3. Step 3: Cross multiply
    22,788x = 47,879.44 × 47,879.44
  4. Step 4: Simplify right side
    22,788x = 2,292,440,535.32
  5. Step 5: Solve for x
    x = 2,292,440,535.32/22,788
  6. Step 6: Final answer
    x = 100,598.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.