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Finding the Third Proportional to 13,382 and 17,337

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Solution

The third proportional to 13,382 and 17,337 is: 22,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382 : 17,337 = 17,337 : x
  2. Step 2: Convert to fraction form
    13,382/17,337 = 17,337/x
  3. Step 3: Cross multiply
    13,382x = 17,337 × 17,337
  4. Step 4: Simplify right side
    13,382x = 300,571,569
  5. Step 5: Solve for x
    x = 300,571,569/13,382
  6. Step 6: Final answer
    x = 22,460.89

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.