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Finding the Third Proportional to 33,464 and 74,309

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Solution

The third proportional to 33,464 and 74,309 is: 165,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,464 : 74,309 = 74,309 : x
  2. Step 2: Convert to fraction form
    33,464/74,309 = 74,309/x
  3. Step 3: Cross multiply
    33,464x = 74,309 × 74,309
  4. Step 4: Simplify right side
    33,464x = 5,521,827,481
  5. Step 5: Solve for x
    x = 5,521,827,481/33,464
  6. Step 6: Final answer
    x = 165,007.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.