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Finding the Third Proportional to 31,690 and 47,436.25

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Solution

The third proportional to 31,690 and 47,436.25 is: 71,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690 : 47,436.25 = 47,436.25 : x
  2. Step 2: Convert to fraction form
    31,690/47,436.25 = 47,436.25/x
  3. Step 3: Cross multiply
    31,690x = 47,436.25 × 47,436.25
  4. Step 4: Simplify right side
    31,690x = 2,250,197,814.06
  5. Step 5: Solve for x
    x = 2,250,197,814.06/31,690
  6. Step 6: Final answer
    x = 71,006.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.