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Finding the Third Proportional to 29,828.25 and 42,150.38

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Solution

The third proportional to 29,828.25 and 42,150.38 is: 59,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,828.25 : 42,150.38 = 42,150.38 : x
  2. Step 2: Convert to fraction form
    29,828.25/42,150.38 = 42,150.38/x
  3. Step 3: Cross multiply
    29,828.25x = 42,150.38 × 42,150.38
  4. Step 4: Simplify right side
    29,828.25x = 1,776,654,112.64
  5. Step 5: Solve for x
    x = 1,776,654,112.64/29,828.25
  6. Step 6: Final answer
    x = 59,562.80

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.