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Finding the Third Proportional to 36,533 and 53,647

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Solution

The third proportional to 36,533 and 53,647 is: 78,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,533 : 53,647 = 53,647 : x
  2. Step 2: Convert to fraction form
    36,533/53,647 = 53,647/x
  3. Step 3: Cross multiply
    36,533x = 53,647 × 53,647
  4. Step 4: Simplify right side
    36,533x = 2,878,000,609
  5. Step 5: Solve for x
    x = 2,878,000,609/36,533
  6. Step 6: Final answer
    x = 78,778.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.