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Finding the Third Proportional to 17,334 and 21,899.25

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Solution

The third proportional to 17,334 and 21,899.25 is: 27,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,334 : 21,899.25 = 21,899.25 : x
  2. Step 2: Convert to fraction form
    17,334/21,899.25 = 21,899.25/x
  3. Step 3: Cross multiply
    17,334x = 21,899.25 × 21,899.25
  4. Step 4: Simplify right side
    17,334x = 479,577,150.56
  5. Step 5: Solve for x
    x = 479,577,150.56/17,334
  6. Step 6: Final answer
    x = 27,666.85

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.