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Finding the Third Proportional to 37,324 and 57,789

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Solution

The third proportional to 37,324 and 57,789 is: 89,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,324 : 57,789 = 57,789 : x
  2. Step 2: Convert to fraction form
    37,324/57,789 = 57,789/x
  3. Step 3: Cross multiply
    37,324x = 57,789 × 57,789
  4. Step 4: Simplify right side
    37,324x = 3,339,568,521
  5. Step 5: Solve for x
    x = 3,339,568,521/37,324
  6. Step 6: Final answer
    x = 89,475.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.