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Finding the Third Proportional to 33,655 and 73,423

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Solution

The third proportional to 33,655 and 73,423 is: 160,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,655 : 73,423 = 73,423 : x
  2. Step 2: Convert to fraction form
    33,655/73,423 = 73,423/x
  3. Step 3: Cross multiply
    33,655x = 73,423 × 73,423
  4. Step 4: Simplify right side
    33,655x = 5,390,936,929
  5. Step 5: Solve for x
    x = 5,390,936,929/33,655
  6. Step 6: Final answer
    x = 160,182.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.