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Finding the Third Proportional to 29,727 and 64,982.25

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Solution

The third proportional to 29,727 and 64,982.25 is: 142,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,727 : 64,982.25 = 64,982.25 : x
  2. Step 2: Convert to fraction form
    29,727/64,982.25 = 64,982.25/x
  3. Step 3: Cross multiply
    29,727x = 64,982.25 × 64,982.25
  4. Step 4: Simplify right side
    29,727x = 4,222,692,815.06
  5. Step 5: Solve for x
    x = 4,222,692,815.06/29,727
  6. Step 6: Final answer
    x = 142,049.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.