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Finding the Third Proportional to 40,216.50 and 61,189.31

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Solution

The third proportional to 40,216.50 and 61,189.31 is: 93,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,216.50 : 61,189.31 = 61,189.31 : x
  2. Step 2: Convert to fraction form
    40,216.50/61,189.31 = 61,189.31/x
  3. Step 3: Cross multiply
    40,216.50x = 61,189.31 × 61,189.31
  4. Step 4: Simplify right side
    40,216.50x = 3,744,131,964.22
  5. Step 5: Solve for x
    x = 3,744,131,964.22/40,216.50
  6. Step 6: Final answer
    x = 93,099.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.