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Finding the Third Proportional to 41,251 and 64,340

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Solution

The third proportional to 41,251 and 64,340 is: 100,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,251 : 64,340 = 64,340 : x
  2. Step 2: Convert to fraction form
    41,251/64,340 = 64,340/x
  3. Step 3: Cross multiply
    41,251x = 64,340 × 64,340
  4. Step 4: Simplify right side
    41,251x = 4,139,635,600
  5. Step 5: Solve for x
    x = 4,139,635,600/41,251
  6. Step 6: Final answer
    x = 100,352.37

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.