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Finding the Third Proportional to 41,529.50 and 62,281

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Solution

The third proportional to 41,529.50 and 62,281 is: 93,401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,529.50 : 62,281 = 62,281 : x
  2. Step 2: Convert to fraction form
    41,529.50/62,281 = 62,281/x
  3. Step 3: Cross multiply
    41,529.50x = 62,281 × 62,281
  4. Step 4: Simplify right side
    41,529.50x = 3,878,922,961
  5. Step 5: Solve for x
    x = 3,878,922,961/41,529.50
  6. Step 6: Final answer
    x = 93,401.63

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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.