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Finding the Third Proportional to 40,814.75 and 61,838.25

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Solution

The third proportional to 40,814.75 and 61,838.25 is: 93,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,814.75 : 61,838.25 = 61,838.25 : x
  2. Step 2: Convert to fraction form
    40,814.75/61,838.25 = 61,838.25/x
  3. Step 3: Cross multiply
    40,814.75x = 61,838.25 × 61,838.25
  4. Step 4: Simplify right side
    40,814.75x = 3,823,969,163.06
  5. Step 5: Solve for x
    x = 3,823,969,163.06/40,814.75
  6. Step 6: Final answer
    x = 93,690.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.