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Finding the Third Proportional to 41,224 and 61,808

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Solution

The third proportional to 41,224 and 61,808 is: 92,670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,224 : 61,808 = 61,808 : x
  2. Step 2: Convert to fraction form
    41,224/61,808 = 61,808/x
  3. Step 3: Cross multiply
    41,224x = 61,808 × 61,808
  4. Step 4: Simplify right side
    41,224x = 3,820,228,864
  5. Step 5: Solve for x
    x = 3,820,228,864/41,224
  6. Step 6: Final answer
    x = 92,670.02

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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.