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Finding the Third Proportional to 31,518.56 and 67,496.81

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Solution

The third proportional to 31,518.56 and 67,496.81 is: 144,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,518.56 : 67,496.81 = 67,496.81 : x
  2. Step 2: Convert to fraction form
    31,518.56/67,496.81 = 67,496.81/x
  3. Step 3: Cross multiply
    31,518.56x = 67,496.81 × 67,496.81
  4. Step 4: Simplify right side
    31,518.56x = 4,555,819,697.66
  5. Step 5: Solve for x
    x = 4,555,819,697.66/31,518.56
  6. Step 6: Final answer
    x = 144,544.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.