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Finding the Third Proportional to 35,277 and 73,429.50

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Solution

The third proportional to 35,277 and 73,429.50 is: 152,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,277 : 73,429.50 = 73,429.50 : x
  2. Step 2: Convert to fraction form
    35,277/73,429.50 = 73,429.50/x
  3. Step 3: Cross multiply
    35,277x = 73,429.50 × 73,429.50
  4. Step 4: Simplify right side
    35,277x = 5,391,891,470.25
  5. Step 5: Solve for x
    x = 5,391,891,470.25/35,277
  6. Step 6: Final answer
    x = 152,844.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.