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Finding the Third Proportional to 32,878 and 48,019

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Solution

The third proportional to 32,878 and 48,019 is: 70,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,878 : 48,019 = 48,019 : x
  2. Step 2: Convert to fraction form
    32,878/48,019 = 48,019/x
  3. Step 3: Cross multiply
    32,878x = 48,019 × 48,019
  4. Step 4: Simplify right side
    32,878x = 2,305,824,361
  5. Step 5: Solve for x
    x = 2,305,824,361/32,878
  6. Step 6: Final answer
    x = 70,132.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.