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Finding the Third Proportional to 29,828.25 and 64,227.94

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Solution

The third proportional to 29,828.25 and 64,227.94 is: 138,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,828.25 : 64,227.94 = 64,227.94 : x
  2. Step 2: Convert to fraction form
    29,828.25/64,227.94 = 64,227.94/x
  3. Step 3: Cross multiply
    29,828.25x = 64,227.94 × 64,227.94
  4. Step 4: Simplify right side
    29,828.25x = 4,125,227,955.50
  5. Step 5: Solve for x
    x = 4,125,227,955.50/29,828.25
  6. Step 6: Final answer
    x = 138,299.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.