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Finding the Third Proportional to 21,496 and 45,908

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Solution

The third proportional to 21,496 and 45,908 is: 98,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496 : 45,908 = 45,908 : x
  2. Step 2: Convert to fraction form
    21,496/45,908 = 45,908/x
  3. Step 3: Cross multiply
    21,496x = 45,908 × 45,908
  4. Step 4: Simplify right side
    21,496x = 2,107,544,464
  5. Step 5: Solve for x
    x = 2,107,544,464/21,496
  6. Step 6: Final answer
    x = 98,043.56

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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.