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Finding the Third Proportional to 37,067 and 57,335

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Solution

The third proportional to 37,067 and 57,335 is: 88,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,067 : 57,335 = 57,335 : x
  2. Step 2: Convert to fraction form
    37,067/57,335 = 57,335/x
  3. Step 3: Cross multiply
    37,067x = 57,335 × 57,335
  4. Step 4: Simplify right side
    37,067x = 3,287,302,225
  5. Step 5: Solve for x
    x = 3,287,302,225/37,067
  6. Step 6: Final answer
    x = 88,685.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.