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Finding the Third Proportional to 36,905 and 57,302

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Solution

The third proportional to 36,905 and 57,302 is: 88,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,905 : 57,302 = 57,302 : x
  2. Step 2: Convert to fraction form
    36,905/57,302 = 57,302/x
  3. Step 3: Cross multiply
    36,905x = 57,302 × 57,302
  4. Step 4: Simplify right side
    36,905x = 3,283,519,204
  5. Step 5: Solve for x
    x = 3,283,519,204/36,905
  6. Step 6: Final answer
    x = 88,972.20

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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.