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Finding the Third Proportional to 40,518 and 84,262.50

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Solution

The third proportional to 40,518 and 84,262.50 is: 175,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,518 : 84,262.50 = 84,262.50 : x
  2. Step 2: Convert to fraction form
    40,518/84,262.50 = 84,262.50/x
  3. Step 3: Cross multiply
    40,518x = 84,262.50 × 84,262.50
  4. Step 4: Simplify right side
    40,518x = 7,100,168,906.25
  5. Step 5: Solve for x
    x = 7,100,168,906.25/40,518
  6. Step 6: Final answer
    x = 175,234.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.