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Finding the Third Proportional to 27,028 and 40,433.50

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Solution

The third proportional to 27,028 and 40,433.50 is: 60,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,028 : 40,433.50 = 40,433.50 : x
  2. Step 2: Convert to fraction form
    27,028/40,433.50 = 40,433.50/x
  3. Step 3: Cross multiply
    27,028x = 40,433.50 × 40,433.50
  4. Step 4: Simplify right side
    27,028x = 1,634,867,922.25
  5. Step 5: Solve for x
    x = 1,634,867,922.25/27,028
  6. Step 6: Final answer
    x = 60,487.94

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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.