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Finding the Third Proportional to 37,788.33 and 82,484.44

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Solution

The third proportional to 37,788.33 and 82,484.44 is: 180,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,788.33 : 82,484.44 = 82,484.44 : x
  2. Step 2: Convert to fraction form
    37,788.33/82,484.44 = 82,484.44/x
  3. Step 3: Cross multiply
    37,788.33x = 82,484.44 × 82,484.44
  4. Step 4: Simplify right side
    37,788.33x = 6,803,682,429.69
  5. Step 5: Solve for x
    x = 6,803,682,429.69/37,788.33
  6. Step 6: Final answer
    x = 180,047.19

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.