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Finding the Third Proportional to 41,434 and 64,275

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Solution

The third proportional to 41,434 and 64,275 is: 99,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,434 : 64,275 = 64,275 : x
  2. Step 2: Convert to fraction form
    41,434/64,275 = 64,275/x
  3. Step 3: Cross multiply
    41,434x = 64,275 × 64,275
  4. Step 4: Simplify right side
    41,434x = 4,131,275,625
  5. Step 5: Solve for x
    x = 4,131,275,625/41,434
  6. Step 6: Final answer
    x = 99,707.38

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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.