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Finding the Third Proportional to 29,982.38 and 60,994.13

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Solution

The third proportional to 29,982.38 and 60,994.13 is: 124,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982.38 : 60,994.13 = 60,994.13 : x
  2. Step 2: Convert to fraction form
    29,982.38/60,994.13 = 60,994.13/x
  3. Step 3: Cross multiply
    29,982.38x = 60,994.13 × 60,994.13
  4. Step 4: Simplify right side
    29,982.38x = 3,720,283,284.52
  5. Step 5: Solve for x
    x = 3,720,283,284.52/29,982.38
  6. Step 6: Final answer
    x = 124,082.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.