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Finding the Third Proportional to 24,969 and 37,964.50

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Solution

The third proportional to 24,969 and 37,964.50 is: 57,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,969 : 37,964.50 = 37,964.50 : x
  2. Step 2: Convert to fraction form
    24,969/37,964.50 = 37,964.50/x
  3. Step 3: Cross multiply
    24,969x = 37,964.50 × 37,964.50
  4. Step 4: Simplify right side
    24,969x = 1,441,303,260.25
  5. Step 5: Solve for x
    x = 1,441,303,260.25/24,969
  6. Step 6: Final answer
    x = 57,723.71

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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.