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Finding the Third Proportional to 40,827 and 61,240.50

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Solution

The third proportional to 40,827 and 61,240.50 is: 91,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,827 : 61,240.50 = 61,240.50 : x
  2. Step 2: Convert to fraction form
    40,827/61,240.50 = 61,240.50/x
  3. Step 3: Cross multiply
    40,827x = 61,240.50 × 61,240.50
  4. Step 4: Simplify right side
    40,827x = 3,750,398,840.25
  5. Step 5: Solve for x
    x = 3,750,398,840.25/40,827
  6. Step 6: Final answer
    x = 91,860.75

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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.