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Finding the Third Proportional to 19,906 and 43,451

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Solution

The third proportional to 19,906 and 43,451 is: 94,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906 : 43,451 = 43,451 : x
  2. Step 2: Convert to fraction form
    19,906/43,451 = 43,451/x
  3. Step 3: Cross multiply
    19,906x = 43,451 × 43,451
  4. Step 4: Simplify right side
    19,906x = 1,887,989,401
  5. Step 5: Solve for x
    x = 1,887,989,401/19,906
  6. Step 6: Final answer
    x = 94,845.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.