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Finding the Third Proportional to 24,741 and 36,564.75

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Solution

The third proportional to 24,741 and 36,564.75 is: 54,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741 : 36,564.75 = 36,564.75 : x
  2. Step 2: Convert to fraction form
    24,741/36,564.75 = 36,564.75/x
  3. Step 3: Cross multiply
    24,741x = 36,564.75 × 36,564.75
  4. Step 4: Simplify right side
    24,741x = 1,336,980,942.56
  5. Step 5: Solve for x
    x = 1,336,980,942.56/24,741
  6. Step 6: Final answer
    x = 54,039.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.