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Finding the Third Proportional to 10,422 and 21,836.25

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Solution

The third proportional to 10,422 and 21,836.25 is: 45,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422 : 21,836.25 = 21,836.25 : x
  2. Step 2: Convert to fraction form
    10,422/21,836.25 = 21,836.25/x
  3. Step 3: Cross multiply
    10,422x = 21,836.25 × 21,836.25
  4. Step 4: Simplify right side
    10,422x = 476,821,814.06
  5. Step 5: Solve for x
    x = 476,821,814.06/10,422
  6. Step 6: Final answer
    x = 45,751.47

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.