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Finding the Third Proportional to 34,550 and 52,185

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Solution

The third proportional to 34,550 and 52,185 is: 78,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,550 : 52,185 = 52,185 : x
  2. Step 2: Convert to fraction form
    34,550/52,185 = 52,185/x
  3. Step 3: Cross multiply
    34,550x = 52,185 × 52,185
  4. Step 4: Simplify right side
    34,550x = 2,723,274,225
  5. Step 5: Solve for x
    x = 2,723,274,225/34,550
  6. Step 6: Final answer
    x = 78,821.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.