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Finding the Third Proportional to 29,602.50 and 61,941

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Solution

The third proportional to 29,602.50 and 61,941 is: 129,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,602.50 : 61,941 = 61,941 : x
  2. Step 2: Convert to fraction form
    29,602.50/61,941 = 61,941/x
  3. Step 3: Cross multiply
    29,602.50x = 61,941 × 61,941
  4. Step 4: Simplify right side
    29,602.50x = 3,836,687,481
  5. Step 5: Solve for x
    x = 3,836,687,481/29,602.50
  6. Step 6: Final answer
    x = 129,606.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.