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Finding the Third Proportional to 41,914 and 64,329

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Solution

The third proportional to 41,914 and 64,329 is: 98,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,914 : 64,329 = 64,329 : x
  2. Step 2: Convert to fraction form
    41,914/64,329 = 64,329/x
  3. Step 3: Cross multiply
    41,914x = 64,329 × 64,329
  4. Step 4: Simplify right side
    41,914x = 4,138,220,241
  5. Step 5: Solve for x
    x = 4,138,220,241/41,914
  6. Step 6: Final answer
    x = 98,731.22

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Why These Related Problems?

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