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Finding the Third Proportional to 31,993.50 and 69,810

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Solution

The third proportional to 31,993.50 and 69,810 is: 152,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.50 : 69,810 = 69,810 : x
  2. Step 2: Convert to fraction form
    31,993.50/69,810 = 69,810/x
  3. Step 3: Cross multiply
    31,993.50x = 69,810 × 69,810
  4. Step 4: Simplify right side
    31,993.50x = 4,873,436,100
  5. Step 5: Solve for x
    x = 4,873,436,100/31,993.50
  6. Step 6: Final answer
    x = 152,325.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.