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Finding the Third Proportional to 35,991 and 74,287

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Solution

The third proportional to 35,991 and 74,287 is: 153,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,991 : 74,287 = 74,287 : x
  2. Step 2: Convert to fraction form
    35,991/74,287 = 74,287/x
  3. Step 3: Cross multiply
    35,991x = 74,287 × 74,287
  4. Step 4: Simplify right side
    35,991x = 5,518,558,369
  5. Step 5: Solve for x
    x = 5,518,558,369/35,991
  6. Step 6: Final answer
    x = 153,331.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.