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Finding the Third Proportional to 34,678 and 52,261

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Solution

The third proportional to 34,678 and 52,261 is: 78,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,678 : 52,261 = 52,261 : x
  2. Step 2: Convert to fraction form
    34,678/52,261 = 52,261/x
  3. Step 3: Cross multiply
    34,678x = 52,261 × 52,261
  4. Step 4: Simplify right side
    34,678x = 2,731,212,121
  5. Step 5: Solve for x
    x = 2,731,212,121/34,678
  6. Step 6: Final answer
    x = 78,759.22

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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.