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Finding the Third Proportional to 33,693 and 73,363

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Solution

The third proportional to 33,693 and 73,363 is: 159,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,693 : 73,363 = 73,363 : x
  2. Step 2: Convert to fraction form
    33,693/73,363 = 73,363/x
  3. Step 3: Cross multiply
    33,693x = 73,363 × 73,363
  4. Step 4: Simplify right side
    33,693x = 5,382,129,769
  5. Step 5: Solve for x
    x = 5,382,129,769/33,693
  6. Step 6: Final answer
    x = 159,740.30

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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.