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Finding the Third Proportional to 32,087 and 49,589

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Solution

The third proportional to 32,087 and 49,589 is: 76,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,087 : 49,589 = 49,589 : x
  2. Step 2: Convert to fraction form
    32,087/49,589 = 49,589/x
  3. Step 3: Cross multiply
    32,087x = 49,589 × 49,589
  4. Step 4: Simplify right side
    32,087x = 2,459,068,921
  5. Step 5: Solve for x
    x = 2,459,068,921/32,087
  6. Step 6: Final answer
    x = 76,637.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.