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Finding the Third Proportional to 34,878 and 52,396

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Solution

The third proportional to 34,878 and 52,396 is: 78,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,878 : 52,396 = 52,396 : x
  2. Step 2: Convert to fraction form
    34,878/52,396 = 52,396/x
  3. Step 3: Cross multiply
    34,878x = 52,396 × 52,396
  4. Step 4: Simplify right side
    34,878x = 2,745,340,816
  5. Step 5: Solve for x
    x = 2,745,340,816/34,878
  6. Step 6: Final answer
    x = 78,712.68

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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.