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Finding the Third Proportional to 37,642 and 74,338

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Solution

The third proportional to 37,642 and 74,338 is: 146,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,642 : 74,338 = 74,338 : x
  2. Step 2: Convert to fraction form
    37,642/74,338 = 74,338/x
  3. Step 3: Cross multiply
    37,642x = 74,338 × 74,338
  4. Step 4: Simplify right side
    37,642x = 5,526,138,244
  5. Step 5: Solve for x
    x = 5,526,138,244/37,642
  6. Step 6: Final answer
    x = 146,807.77

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.