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Finding the Third Proportional to 16,722 and 22,313.25

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Solution

The third proportional to 16,722 and 22,313.25 is: 29,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,722 : 22,313.25 = 22,313.25 : x
  2. Step 2: Convert to fraction form
    16,722/22,313.25 = 22,313.25/x
  3. Step 3: Cross multiply
    16,722x = 22,313.25 × 22,313.25
  4. Step 4: Simplify right side
    16,722x = 497,881,125.56
  5. Step 5: Solve for x
    x = 497,881,125.56/16,722
  6. Step 6: Final answer
    x = 29,774.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.