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Finding the Third Proportional to 19,462 and 29,922

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Solution

The third proportional to 19,462 and 29,922 is: 46,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462 : 29,922 = 29,922 : x
  2. Step 2: Convert to fraction form
    19,462/29,922 = 29,922/x
  3. Step 3: Cross multiply
    19,462x = 29,922 × 29,922
  4. Step 4: Simplify right side
    19,462x = 895,326,084
  5. Step 5: Solve for x
    x = 895,326,084/19,462
  6. Step 6: Final answer
    x = 46,003.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.