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Finding the Third Proportional to 17,188 and 19,748

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Solution

The third proportional to 17,188 and 19,748 is: 22,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,188 : 19,748 = 19,748 : x
  2. Step 2: Convert to fraction form
    17,188/19,748 = 19,748/x
  3. Step 3: Cross multiply
    17,188x = 19,748 × 19,748
  4. Step 4: Simplify right side
    17,188x = 389,983,504
  5. Step 5: Solve for x
    x = 389,983,504/17,188
  6. Step 6: Final answer
    x = 22,689.29

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.