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Finding the Third Proportional to 35,039.25 and 52,977.75

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Solution

The third proportional to 35,039.25 and 52,977.75 is: 80,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,039.25 : 52,977.75 = 52,977.75 : x
  2. Step 2: Convert to fraction form
    35,039.25/52,977.75 = 52,977.75/x
  3. Step 3: Cross multiply
    35,039.25x = 52,977.75 × 52,977.75
  4. Step 4: Simplify right side
    35,039.25x = 2,806,641,995.06
  5. Step 5: Solve for x
    x = 2,806,641,995.06/35,039.25
  6. Step 6: Final answer
    x = 80,099.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.