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Finding the Third Proportional to 35,083.13 and 54,816.75

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Solution

The third proportional to 35,083.13 and 54,816.75 is: 85,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,083.13 : 54,816.75 = 54,816.75 : x
  2. Step 2: Convert to fraction form
    35,083.13/54,816.75 = 54,816.75/x
  3. Step 3: Cross multiply
    35,083.13x = 54,816.75 × 54,816.75
  4. Step 4: Simplify right side
    35,083.13x = 3,004,876,080.56
  5. Step 5: Solve for x
    x = 3,004,876,080.56/35,083.13
  6. Step 6: Final answer
    x = 85,650.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.