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Finding the Third Proportional to 29,962.41 and 66,576.09

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Solution

The third proportional to 29,962.41 and 66,576.09 is: 147,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962.41 : 66,576.09 = 66,576.09 : x
  2. Step 2: Convert to fraction form
    29,962.41/66,576.09 = 66,576.09/x
  3. Step 3: Cross multiply
    29,962.41x = 66,576.09 × 66,576.09
  4. Step 4: Simplify right side
    29,962.41x = 4,432,376,259.01
  5. Step 5: Solve for x
    x = 4,432,376,259.01/29,962.41
  6. Step 6: Final answer
    x = 147,931.25

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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.