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Finding the Third Proportional to 41,896 and 62,934

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Solution

The third proportional to 41,896 and 62,934 is: 94,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,896 : 62,934 = 62,934 : x
  2. Step 2: Convert to fraction form
    41,896/62,934 = 62,934/x
  3. Step 3: Cross multiply
    41,896x = 62,934 × 62,934
  4. Step 4: Simplify right side
    41,896x = 3,960,688,356
  5. Step 5: Solve for x
    x = 3,960,688,356/41,896
  6. Step 6: Final answer
    x = 94,536.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.