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Finding the Third Proportional to 16,404 and 17,700

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Solution

The third proportional to 16,404 and 17,700 is: 19,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404 : 17,700 = 17,700 : x
  2. Step 2: Convert to fraction form
    16,404/17,700 = 17,700/x
  3. Step 3: Cross multiply
    16,404x = 17,700 × 17,700
  4. Step 4: Simplify right side
    16,404x = 313,290,000
  5. Step 5: Solve for x
    x = 313,290,000/16,404
  6. Step 6: Final answer
    x = 19,098.39

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.