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Finding the Third Proportional to 40,851 and 61,620.75

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Solution

The third proportional to 40,851 and 61,620.75 is: 92,950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,851 : 61,620.75 = 61,620.75 : x
  2. Step 2: Convert to fraction form
    40,851/61,620.75 = 61,620.75/x
  3. Step 3: Cross multiply
    40,851x = 61,620.75 × 61,620.75
  4. Step 4: Simplify right side
    40,851x = 3,797,116,830.56
  5. Step 5: Solve for x
    x = 3,797,116,830.56/40,851
  6. Step 6: Final answer
    x = 92,950.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.