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Finding the Third Proportional to 16,217 and 20,721.50

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Solution

The third proportional to 16,217 and 20,721.50 is: 26,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217 : 20,721.50 = 20,721.50 : x
  2. Step 2: Convert to fraction form
    16,217/20,721.50 = 20,721.50/x
  3. Step 3: Cross multiply
    16,217x = 20,721.50 × 20,721.50
  4. Step 4: Simplify right side
    16,217x = 429,380,562.25
  5. Step 5: Solve for x
    x = 429,380,562.25/16,217
  6. Step 6: Final answer
    x = 26,477.19

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.