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Finding the Third Proportional to 41,949 and 64,017

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Solution

The third proportional to 41,949 and 64,017 is: 97,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,949 : 64,017 = 64,017 : x
  2. Step 2: Convert to fraction form
    41,949/64,017 = 64,017/x
  3. Step 3: Cross multiply
    41,949x = 64,017 × 64,017
  4. Step 4: Simplify right side
    41,949x = 4,098,176,289
  5. Step 5: Solve for x
    x = 4,098,176,289/41,949
  6. Step 6: Final answer
    x = 97,694.25

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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.