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Finding the Third Proportional to 41,850 and 62,771.63

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Solution

The third proportional to 41,850 and 62,771.63 is: 94,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,850 : 62,771.63 = 62,771.63 : x
  2. Step 2: Convert to fraction form
    41,850/62,771.63 = 62,771.63/x
  3. Step 3: Cross multiply
    41,850x = 62,771.63 × 62,771.63
  4. Step 4: Simplify right side
    41,850x = 3,940,276,905.14
  5. Step 5: Solve for x
    x = 3,940,276,905.14/41,850
  6. Step 6: Final answer
    x = 94,152.38

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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.