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Finding the Third Proportional to 20,009 and 29,922

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Solution

The third proportional to 20,009 and 29,922 is: 44,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009 : 29,922 = 29,922 : x
  2. Step 2: Convert to fraction form
    20,009/29,922 = 29,922/x
  3. Step 3: Cross multiply
    20,009x = 29,922 × 29,922
  4. Step 4: Simplify right side
    20,009x = 895,326,084
  5. Step 5: Solve for x
    x = 895,326,084/20,009
  6. Step 6: Final answer
    x = 44,746.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.