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Finding the Third Proportional to 31,529 and 47,298

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Solution

The third proportional to 31,529 and 47,298 is: 70,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,529 : 47,298 = 47,298 : x
  2. Step 2: Convert to fraction form
    31,529/47,298 = 47,298/x
  3. Step 3: Cross multiply
    31,529x = 47,298 × 47,298
  4. Step 4: Simplify right side
    31,529x = 2,237,100,804
  5. Step 5: Solve for x
    x = 2,237,100,804/31,529
  6. Step 6: Final answer
    x = 70,953.75

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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.