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Finding the Third Proportional to 29,676.38 and 62,663.63

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Solution

The third proportional to 29,676.38 and 62,663.63 is: 132,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,676.38 : 62,663.63 = 62,663.63 : x
  2. Step 2: Convert to fraction form
    29,676.38/62,663.63 = 62,663.63/x
  3. Step 3: Cross multiply
    29,676.38x = 62,663.63 × 62,663.63
  4. Step 4: Simplify right side
    29,676.38x = 3,926,729,898.14
  5. Step 5: Solve for x
    x = 3,926,729,898.14/29,676.38
  6. Step 6: Final answer
    x = 132,318.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.