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Finding the Third Proportional to 37,339 and 57,821

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Solution

The third proportional to 37,339 and 57,821 is: 89,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,339 : 57,821 = 57,821 : x
  2. Step 2: Convert to fraction form
    37,339/57,821 = 57,821/x
  3. Step 3: Cross multiply
    37,339x = 57,821 × 57,821
  4. Step 4: Simplify right side
    37,339x = 3,343,268,041
  5. Step 5: Solve for x
    x = 3,343,268,041/37,339
  6. Step 6: Final answer
    x = 89,538.23

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Why These Related Problems?

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