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Finding the Third Proportional to 41,023 and 63,266

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Solution

The third proportional to 41,023 and 63,266 is: 97,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,023 : 63,266 = 63,266 : x
  2. Step 2: Convert to fraction form
    41,023/63,266 = 63,266/x
  3. Step 3: Cross multiply
    41,023x = 63,266 × 63,266
  4. Step 4: Simplify right side
    41,023x = 4,002,586,756
  5. Step 5: Solve for x
    x = 4,002,586,756/41,023
  6. Step 6: Final answer
    x = 97,569.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.