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Finding the Third Proportional to 35,205.57 and 72,734.84

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Solution

The third proportional to 35,205.57 and 72,734.84 is: 150,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,205.57 : 72,734.84 = 72,734.84 : x
  2. Step 2: Convert to fraction form
    35,205.57/72,734.84 = 72,734.84/x
  3. Step 3: Cross multiply
    35,205.57x = 72,734.84 × 72,734.84
  4. Step 4: Simplify right side
    35,205.57x = 5,290,356,358.86
  5. Step 5: Solve for x
    x = 5,290,356,358.86/35,205.57
  6. Step 6: Final answer
    x = 150,270.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.