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Finding the Third Proportional to 31,568 and 47,352

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Solution

The third proportional to 31,568 and 47,352 is: 71,028

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,568 : 47,352 = 47,352 : x
  2. Step 2: Convert to fraction form
    31,568/47,352 = 47,352/x
  3. Step 3: Cross multiply
    31,568x = 47,352 × 47,352
  4. Step 4: Simplify right side
    31,568x = 2,242,211,904
  5. Step 5: Solve for x
    x = 2,242,211,904/31,568
  6. Step 6: Final answer
    x = 71,028

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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.