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Finding the Third Proportional to 36,049 and 56,013

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Solution

The third proportional to 36,049 and 56,013 is: 87,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,049 : 56,013 = 56,013 : x
  2. Step 2: Convert to fraction form
    36,049/56,013 = 56,013/x
  3. Step 3: Cross multiply
    36,049x = 56,013 × 56,013
  4. Step 4: Simplify right side
    36,049x = 3,137,456,169
  5. Step 5: Solve for x
    x = 3,137,456,169/36,049
  6. Step 6: Final answer
    x = 87,033.10

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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.