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Finding the Third Proportional to 32,859 and 50,101.88

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Solution

The third proportional to 32,859 and 50,101.88 is: 76,393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,859 : 50,101.88 = 50,101.88 : x
  2. Step 2: Convert to fraction form
    32,859/50,101.88 = 50,101.88/x
  3. Step 3: Cross multiply
    32,859x = 50,101.88 × 50,101.88
  4. Step 4: Simplify right side
    32,859x = 2,510,197,878.52
  5. Step 5: Solve for x
    x = 2,510,197,878.52/32,859
  6. Step 6: Final answer
    x = 76,393.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.