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Finding the Third Proportional to 16,233 and 21,706.50

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Solution

The third proportional to 16,233 and 21,706.50 is: 29,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233 : 21,706.50 = 21,706.50 : x
  2. Step 2: Convert to fraction form
    16,233/21,706.50 = 21,706.50/x
  3. Step 3: Cross multiply
    16,233x = 21,706.50 × 21,706.50
  4. Step 4: Simplify right side
    16,233x = 471,172,142.25
  5. Step 5: Solve for x
    x = 471,172,142.25/16,233
  6. Step 6: Final answer
    x = 29,025.57

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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.