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Finding the Third Proportional to 37,063 and 57,329

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Solution

The third proportional to 37,063 and 57,329 is: 88,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,063 : 57,329 = 57,329 : x
  2. Step 2: Convert to fraction form
    37,063/57,329 = 57,329/x
  3. Step 3: Cross multiply
    37,063x = 57,329 × 57,329
  4. Step 4: Simplify right side
    37,063x = 3,286,614,241
  5. Step 5: Solve for x
    x = 3,286,614,241/37,063
  6. Step 6: Final answer
    x = 88,676.42

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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.