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Finding the Third Proportional to 33,854 and 74,272

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Solution

The third proportional to 33,854 and 74,272 is: 162,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,854 : 74,272 = 74,272 : x
  2. Step 2: Convert to fraction form
    33,854/74,272 = 74,272/x
  3. Step 3: Cross multiply
    33,854x = 74,272 × 74,272
  4. Step 4: Simplify right side
    33,854x = 5,516,329,984
  5. Step 5: Solve for x
    x = 5,516,329,984/33,854
  6. Step 6: Final answer
    x = 162,944.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.