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Finding the Third Proportional to 36,953 and 55,373

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Solution

The third proportional to 36,953 and 55,373 is: 82,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,953 : 55,373 = 55,373 : x
  2. Step 2: Convert to fraction form
    36,953/55,373 = 55,373/x
  3. Step 3: Cross multiply
    36,953x = 55,373 × 55,373
  4. Step 4: Simplify right side
    36,953x = 3,066,169,129
  5. Step 5: Solve for x
    x = 3,066,169,129/36,953
  6. Step 6: Final answer
    x = 82,974.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.