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Finding the Third Proportional to 13,037 and 17,287.50

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Solution

The third proportional to 13,037 and 17,287.50 is: 22,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037 : 17,287.50 = 17,287.50 : x
  2. Step 2: Convert to fraction form
    13,037/17,287.50 = 17,287.50/x
  3. Step 3: Cross multiply
    13,037x = 17,287.50 × 17,287.50
  4. Step 4: Simplify right side
    13,037x = 298,857,656.25
  5. Step 5: Solve for x
    x = 298,857,656.25/13,037
  6. Step 6: Final answer
    x = 22,923.81

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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.