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Finding the Third Proportional to 33,959 and 72,292

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Solution

The third proportional to 33,959 and 72,292 is: 153,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,959 : 72,292 = 72,292 : x
  2. Step 2: Convert to fraction form
    33,959/72,292 = 72,292/x
  3. Step 3: Cross multiply
    33,959x = 72,292 × 72,292
  4. Step 4: Simplify right side
    33,959x = 5,226,133,264
  5. Step 5: Solve for x
    x = 5,226,133,264/33,959
  6. Step 6: Final answer
    x = 153,895.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.