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Finding the Third Proportional to 21,141 and 42,864

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Solution

The third proportional to 21,141 and 42,864 is: 86,908.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141 : 42,864 = 42,864 : x
  2. Step 2: Convert to fraction form
    21,141/42,864 = 42,864/x
  3. Step 3: Cross multiply
    21,141x = 42,864 × 42,864
  4. Step 4: Simplify right side
    21,141x = 1,837,322,496
  5. Step 5: Solve for x
    x = 1,837,322,496/21,141
  6. Step 6: Final answer
    x = 86,908.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.