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Finding the Third Proportional to 21,901 and 48,001

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Solution

The third proportional to 21,901 and 48,001 is: 105,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,901 : 48,001 = 48,001 : x
  2. Step 2: Convert to fraction form
    21,901/48,001 = 48,001/x
  3. Step 3: Cross multiply
    21,901x = 48,001 × 48,001
  4. Step 4: Simplify right side
    21,901x = 2,304,096,001
  5. Step 5: Solve for x
    x = 2,304,096,001/21,901
  6. Step 6: Final answer
    x = 105,205.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.