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Finding the Third Proportional to 16,158 and 21,717

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Solution

The third proportional to 16,158 and 21,717 is: 29,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158 : 21,717 = 21,717 : x
  2. Step 2: Convert to fraction form
    16,158/21,717 = 21,717/x
  3. Step 3: Cross multiply
    16,158x = 21,717 × 21,717
  4. Step 4: Simplify right side
    16,158x = 471,628,089
  5. Step 5: Solve for x
    x = 471,628,089/16,158
  6. Step 6: Final answer
    x = 29,188.52

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.