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Finding the Third Proportional to 37,421 and 56,131

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Solution

The third proportional to 37,421 and 56,131 is: 84,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,421 : 56,131 = 56,131 : x
  2. Step 2: Convert to fraction form
    37,421/56,131 = 56,131/x
  3. Step 3: Cross multiply
    37,421x = 56,131 × 56,131
  4. Step 4: Simplify right side
    37,421x = 3,150,689,161
  5. Step 5: Solve for x
    x = 3,150,689,161/37,421
  6. Step 6: Final answer
    x = 84,195.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.