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Finding the Third Proportional to 27,261.75 and 40,000.50

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Solution

The third proportional to 27,261.75 and 40,000.50 is: 58,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,261.75 : 40,000.50 = 40,000.50 : x
  2. Step 2: Convert to fraction form
    27,261.75/40,000.50 = 40,000.50/x
  3. Step 3: Cross multiply
    27,261.75x = 40,000.50 × 40,000.50
  4. Step 4: Simplify right side
    27,261.75x = 1,600,040,000.25
  5. Step 5: Solve for x
    x = 1,600,040,000.25/27,261.75
  6. Step 6: Final answer
    x = 58,691.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.