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Finding the Third Proportional to 41,904 and 64,314

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Solution

The third proportional to 41,904 and 64,314 is: 98,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,904 : 64,314 = 64,314 : x
  2. Step 2: Convert to fraction form
    41,904/64,314 = 64,314/x
  3. Step 3: Cross multiply
    41,904x = 64,314 × 64,314
  4. Step 4: Simplify right side
    41,904x = 4,136,290,596
  5. Step 5: Solve for x
    x = 4,136,290,596/41,904
  6. Step 6: Final answer
    x = 98,708.73

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.