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Finding the Third Proportional to 31,796.25 and 69,060

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Solution

The third proportional to 31,796.25 and 69,060 is: 149,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796.25 : 69,060 = 69,060 : x
  2. Step 2: Convert to fraction form
    31,796.25/69,060 = 69,060/x
  3. Step 3: Cross multiply
    31,796.25x = 69,060 × 69,060
  4. Step 4: Simplify right side
    31,796.25x = 4,769,283,600
  5. Step 5: Solve for x
    x = 4,769,283,600/31,796.25
  6. Step 6: Final answer
    x = 149,995.16

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.