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Finding the Third Proportional to 35,192.25 and 73,287

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Solution

The third proportional to 35,192.25 and 73,287 is: 152,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,192.25 : 73,287 = 73,287 : x
  2. Step 2: Convert to fraction form
    35,192.25/73,287 = 73,287/x
  3. Step 3: Cross multiply
    35,192.25x = 73,287 × 73,287
  4. Step 4: Simplify right side
    35,192.25x = 5,370,984,369
  5. Step 5: Solve for x
    x = 5,370,984,369/35,192.25
  6. Step 6: Final answer
    x = 152,618.39

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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.