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Finding the Third Proportional to 20,449 and 43,850

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Solution

The third proportional to 20,449 and 43,850 is: 94,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449 : 43,850 = 43,850 : x
  2. Step 2: Convert to fraction form
    20,449/43,850 = 43,850/x
  3. Step 3: Cross multiply
    20,449x = 43,850 × 43,850
  4. Step 4: Simplify right side
    20,449x = 1,922,822,500
  5. Step 5: Solve for x
    x = 1,922,822,500/20,449
  6. Step 6: Final answer
    x = 94,030.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.