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Finding the Third Proportional to 34,678 and 51,369

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Solution

The third proportional to 34,678 and 51,369 is: 76,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,678 : 51,369 = 51,369 : x
  2. Step 2: Convert to fraction form
    34,678/51,369 = 51,369/x
  3. Step 3: Cross multiply
    34,678x = 51,369 × 51,369
  4. Step 4: Simplify right side
    34,678x = 2,638,774,161
  5. Step 5: Solve for x
    x = 2,638,774,161/34,678
  6. Step 6: Final answer
    x = 76,093.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.