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Finding the Third Proportional to 16,742.25 and 23,800.50

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Solution

The third proportional to 16,742.25 and 23,800.50 is: 33,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742.25 : 23,800.50 = 23,800.50 : x
  2. Step 2: Convert to fraction form
    16,742.25/23,800.50 = 23,800.50/x
  3. Step 3: Cross multiply
    16,742.25x = 23,800.50 × 23,800.50
  4. Step 4: Simplify right side
    16,742.25x = 566,463,800.25
  5. Step 5: Solve for x
    x = 566,463,800.25/16,742.25
  6. Step 6: Final answer
    x = 33,834.39

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.