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Finding the Third Proportional to 29,800.13 and 41,313.38

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Solution

The third proportional to 29,800.13 and 41,313.38 is: 57,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,800.13 : 41,313.38 = 41,313.38 : x
  2. Step 2: Convert to fraction form
    29,800.13/41,313.38 = 41,313.38/x
  3. Step 3: Cross multiply
    29,800.13x = 41,313.38 × 41,313.38
  4. Step 4: Simplify right side
    29,800.13x = 1,706,794,953.89
  5. Step 5: Solve for x
    x = 1,706,794,953.89/29,800.13
  6. Step 6: Final answer
    x = 57,274.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.