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Finding the Third Proportional to 36,173 and 52,846

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Solution

The third proportional to 36,173 and 52,846 is: 77,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,173 : 52,846 = 52,846 : x
  2. Step 2: Convert to fraction form
    36,173/52,846 = 52,846/x
  3. Step 3: Cross multiply
    36,173x = 52,846 × 52,846
  4. Step 4: Simplify right side
    36,173x = 2,792,699,716
  5. Step 5: Solve for x
    x = 2,792,699,716/36,173
  6. Step 6: Final answer
    x = 77,203.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.