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Finding the Third Proportional to 20,056 and 46,422

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Solution

The third proportional to 20,056 and 46,422 is: 107,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,056 : 46,422 = 46,422 : x
  2. Step 2: Convert to fraction form
    20,056/46,422 = 46,422/x
  3. Step 3: Cross multiply
    20,056x = 46,422 × 46,422
  4. Step 4: Simplify right side
    20,056x = 2,155,002,084
  5. Step 5: Solve for x
    x = 2,155,002,084/20,056
  6. Step 6: Final answer
    x = 107,449.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.