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Finding the Third Proportional to 29,962.88 and 66,576.38

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Solution

The third proportional to 29,962.88 and 66,576.38 is: 147,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962.88 : 66,576.38 = 66,576.38 : x
  2. Step 2: Convert to fraction form
    29,962.88/66,576.38 = 66,576.38/x
  3. Step 3: Cross multiply
    29,962.88x = 66,576.38 × 66,576.38
  4. Step 4: Simplify right side
    29,962.88x = 4,432,413,708.14
  5. Step 5: Solve for x
    x = 4,432,413,708.14/29,962.88
  6. Step 6: Final answer
    x = 147,930.19

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.