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Finding the Third Proportional to 32,832 and 72,044.44

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Solution

The third proportional to 32,832 and 72,044.44 is: 158,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832 : 72,044.44 = 72,044.44 : x
  2. Step 2: Convert to fraction form
    32,832/72,044.44 = 72,044.44/x
  3. Step 3: Cross multiply
    32,832x = 72,044.44 × 72,044.44
  4. Step 4: Simplify right side
    32,832x = 5,190,400,974.69
  5. Step 5: Solve for x
    x = 5,190,400,974.69/32,832
  6. Step 6: Final answer
    x = 158,089.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.