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Finding the Third Proportional to 27,688.50 and 41,424.75

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Solution

The third proportional to 27,688.50 and 41,424.75 is: 61,975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,688.50 : 41,424.75 = 41,424.75 : x
  2. Step 2: Convert to fraction form
    27,688.50/41,424.75 = 41,424.75/x
  3. Step 3: Cross multiply
    27,688.50x = 41,424.75 × 41,424.75
  4. Step 4: Simplify right side
    27,688.50x = 1,716,009,912.56
  5. Step 5: Solve for x
    x = 1,716,009,912.56/27,688.50
  6. Step 6: Final answer
    x = 61,975.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.