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Finding the Third Proportional to 34,816 and 52,093

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Solution

The third proportional to 34,816 and 52,093 is: 77,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,816 : 52,093 = 52,093 : x
  2. Step 2: Convert to fraction form
    34,816/52,093 = 52,093/x
  3. Step 3: Cross multiply
    34,816x = 52,093 × 52,093
  4. Step 4: Simplify right side
    34,816x = 2,713,680,649
  5. Step 5: Solve for x
    x = 2,713,680,649/34,816
  6. Step 6: Final answer
    x = 77,943.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.