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Finding the Third Proportional to 33,370 and 72,548

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Solution

The third proportional to 33,370 and 72,548 is: 157,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,370 : 72,548 = 72,548 : x
  2. Step 2: Convert to fraction form
    33,370/72,548 = 72,548/x
  3. Step 3: Cross multiply
    33,370x = 72,548 × 72,548
  4. Step 4: Simplify right side
    33,370x = 5,263,212,304
  5. Step 5: Solve for x
    x = 5,263,212,304/33,370
  6. Step 6: Final answer
    x = 157,722.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.