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Finding the Third Proportional to 35,035.13 and 54,273.75

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Solution

The third proportional to 35,035.13 and 54,273.75 is: 84,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,035.13 : 54,273.75 = 54,273.75 : x
  2. Step 2: Convert to fraction form
    35,035.13/54,273.75 = 54,273.75/x
  3. Step 3: Cross multiply
    35,035.13x = 54,273.75 × 54,273.75
  4. Step 4: Simplify right side
    35,035.13x = 2,945,639,939.06
  5. Step 5: Solve for x
    x = 2,945,639,939.06/35,035.13
  6. Step 6: Final answer
    x = 84,076.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.