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Finding the Third Proportional to 16,154 and 21,707

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Solution

The third proportional to 16,154 and 21,707 is: 29,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154 : 21,707 = 21,707 : x
  2. Step 2: Convert to fraction form
    16,154/21,707 = 21,707/x
  3. Step 3: Cross multiply
    16,154x = 21,707 × 21,707
  4. Step 4: Simplify right side
    16,154x = 471,193,849
  5. Step 5: Solve for x
    x = 471,193,849/16,154
  6. Step 6: Final answer
    x = 29,168.87

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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.