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Finding the Third Proportional to 16,853 and 23,609.50

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Solution

The third proportional to 16,853 and 23,609.50 is: 33,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853 : 23,609.50 = 23,609.50 : x
  2. Step 2: Convert to fraction form
    16,853/23,609.50 = 23,609.50/x
  3. Step 3: Cross multiply
    16,853x = 23,609.50 × 23,609.50
  4. Step 4: Simplify right side
    16,853x = 557,408,490.25
  5. Step 5: Solve for x
    x = 557,408,490.25/16,853
  6. Step 6: Final answer
    x = 33,074.73

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.