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Finding the Third Proportional to 16,740.38 and 22,735.50

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Solution

The third proportional to 16,740.38 and 22,735.50 is: 30,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,740.38 : 22,735.50 = 22,735.50 : x
  2. Step 2: Convert to fraction form
    16,740.38/22,735.50 = 22,735.50/x
  3. Step 3: Cross multiply
    16,740.38x = 22,735.50 × 22,735.50
  4. Step 4: Simplify right side
    16,740.38x = 516,902,960.25
  5. Step 5: Solve for x
    x = 516,902,960.25/16,740.38
  6. Step 6: Final answer
    x = 30,877.62

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.