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Finding the Third Proportional to 17,538.19 and 26,745.05

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Solution

The third proportional to 17,538.19 and 26,745.05 is: 40,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.19 : 26,745.05 = 26,745.05 : x
  2. Step 2: Convert to fraction form
    17,538.19/26,745.05 = 26,745.05/x
  3. Step 3: Cross multiply
    17,538.19x = 26,745.05 × 26,745.05
  4. Step 4: Simplify right side
    17,538.19x = 715,297,532.35
  5. Step 5: Solve for x
    x = 715,297,532.35/17,538.19
  6. Step 6: Final answer
    x = 40,785.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.