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Finding the Third Proportional to 40,298 and 60,483

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Solution

The third proportional to 40,298 and 60,483 is: 90,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,298 : 60,483 = 60,483 : x
  2. Step 2: Convert to fraction form
    40,298/60,483 = 60,483/x
  3. Step 3: Cross multiply
    40,298x = 60,483 × 60,483
  4. Step 4: Simplify right side
    40,298x = 3,658,193,289
  5. Step 5: Solve for x
    x = 3,658,193,289/40,298
  6. Step 6: Final answer
    x = 90,778.53

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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.