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Finding the Third Proportional to 31,393 and 47,409.50

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Solution

The third proportional to 31,393 and 47,409.50 is: 71,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,393 : 47,409.50 = 47,409.50 : x
  2. Step 2: Convert to fraction form
    31,393/47,409.50 = 47,409.50/x
  3. Step 3: Cross multiply
    31,393x = 47,409.50 × 47,409.50
  4. Step 4: Simplify right side
    31,393x = 2,247,660,690.25
  5. Step 5: Solve for x
    x = 2,247,660,690.25/31,393
  6. Step 6: Final answer
    x = 71,597.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.