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Finding the Third Proportional to 31,595 and 47,521

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Solution

The third proportional to 31,595 and 47,521 is: 71,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595 : 47,521 = 47,521 : x
  2. Step 2: Convert to fraction form
    31,595/47,521 = 47,521/x
  3. Step 3: Cross multiply
    31,595x = 47,521 × 47,521
  4. Step 4: Simplify right side
    31,595x = 2,258,245,441
  5. Step 5: Solve for x
    x = 2,258,245,441/31,595
  6. Step 6: Final answer
    x = 71,474.77

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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.