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Finding the Third Proportional to 29,175.19 and 33,184.69

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Solution

The third proportional to 29,175.19 and 33,184.69 is: 37,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,175.19 : 33,184.69 = 33,184.69 : x
  2. Step 2: Convert to fraction form
    29,175.19/33,184.69 = 33,184.69/x
  3. Step 3: Cross multiply
    29,175.19x = 33,184.69 × 33,184.69
  4. Step 4: Simplify right side
    29,175.19x = 1,101,223,484.47
  5. Step 5: Solve for x
    x = 1,101,223,484.47/29,175.19
  6. Step 6: Final answer
    x = 37,745.21

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.