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Finding the Third Proportional to 34,966 and 52,473

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Solution

The third proportional to 34,966 and 52,473 is: 78,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,966 : 52,473 = 52,473 : x
  2. Step 2: Convert to fraction form
    34,966/52,473 = 52,473/x
  3. Step 3: Cross multiply
    34,966x = 52,473 × 52,473
  4. Step 4: Simplify right side
    34,966x = 2,753,415,729
  5. Step 5: Solve for x
    x = 2,753,415,729/34,966
  6. Step 6: Final answer
    x = 78,745.52

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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.