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Finding the Third Proportional to 34,967 and 52,438

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Solution

The third proportional to 34,967 and 52,438 is: 78,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,967 : 52,438 = 52,438 : x
  2. Step 2: Convert to fraction form
    34,967/52,438 = 52,438/x
  3. Step 3: Cross multiply
    34,967x = 52,438 × 52,438
  4. Step 4: Simplify right side
    34,967x = 2,749,743,844
  5. Step 5: Solve for x
    x = 2,749,743,844/34,967
  6. Step 6: Final answer
    x = 78,638.25

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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.