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Finding the Third Proportional to 29,613.73 and 69,908.06

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Solution

The third proportional to 29,613.73 and 69,908.06 is: 165,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,613.73 : 69,908.06 = 69,908.06 : x
  2. Step 2: Convert to fraction form
    29,613.73/69,908.06 = 69,908.06/x
  3. Step 3: Cross multiply
    29,613.73x = 69,908.06 × 69,908.06
  4. Step 4: Simplify right side
    29,613.73x = 4,887,137,202.50
  5. Step 5: Solve for x
    x = 4,887,137,202.50/29,613.73
  6. Step 6: Final answer
    x = 165,029.46

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.