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Finding the Third Proportional to 29,576.25 and 45,822.38

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Solution

The third proportional to 29,576.25 and 45,822.38 is: 70,992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,576.25 : 45,822.38 = 45,822.38 : x
  2. Step 2: Convert to fraction form
    29,576.25/45,822.38 = 45,822.38/x
  3. Step 3: Cross multiply
    29,576.25x = 45,822.38 × 45,822.38
  4. Step 4: Simplify right side
    29,576.25x = 2,099,690,050.64
  5. Step 5: Solve for x
    x = 2,099,690,050.64/29,576.25
  6. Step 6: Final answer
    x = 70,992.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.