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Finding the Third Proportional to 40,830 and 61,245

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Solution

The third proportional to 40,830 and 61,245 is: 91,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,830 : 61,245 = 61,245 : x
  2. Step 2: Convert to fraction form
    40,830/61,245 = 61,245/x
  3. Step 3: Cross multiply
    40,830x = 61,245 × 61,245
  4. Step 4: Simplify right side
    40,830x = 3,750,950,025
  5. Step 5: Solve for x
    x = 3,750,950,025/40,830
  6. Step 6: Final answer
    x = 91,867.50

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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.