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Finding the Third Proportional to 31,276.13 and 69,546.94

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Solution

The third proportional to 31,276.13 and 69,546.94 is: 154,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,276.13 : 69,546.94 = 69,546.94 : x
  2. Step 2: Convert to fraction form
    31,276.13/69,546.94 = 69,546.94/x
  3. Step 3: Cross multiply
    31,276.13x = 69,546.94 × 69,546.94
  4. Step 4: Simplify right side
    31,276.13x = 4,836,776,515.63
  5. Step 5: Solve for x
    x = 4,836,776,515.63/31,276.13
  6. Step 6: Final answer
    x = 154,647.56

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.