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Finding the Third Proportional to 33,652.13 and 52,253.44

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Solution

The third proportional to 33,652.13 and 52,253.44 is: 81,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652.13 : 52,253.44 = 52,253.44 : x
  2. Step 2: Convert to fraction form
    33,652.13/52,253.44 = 52,253.44/x
  3. Step 3: Cross multiply
    33,652.13x = 52,253.44 × 52,253.44
  4. Step 4: Simplify right side
    33,652.13x = 2,730,421,730.57
  5. Step 5: Solve for x
    x = 2,730,421,730.57/33,652.13
  6. Step 6: Final answer
    x = 81,136.68

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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.