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Finding the Third Proportional to 32,086 and 49,381

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Solution

The third proportional to 32,086 and 49,381 is: 75,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,086 : 49,381 = 49,381 : x
  2. Step 2: Convert to fraction form
    32,086/49,381 = 49,381/x
  3. Step 3: Cross multiply
    32,086x = 49,381 × 49,381
  4. Step 4: Simplify right side
    32,086x = 2,438,483,161
  5. Step 5: Solve for x
    x = 2,438,483,161/32,086
  6. Step 6: Final answer
    x = 75,998.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.