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Finding the Third Proportional to 33,460 and 44,418

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Solution

The third proportional to 33,460 and 44,418 is: 58,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,460 : 44,418 = 44,418 : x
  2. Step 2: Convert to fraction form
    33,460/44,418 = 44,418/x
  3. Step 3: Cross multiply
    33,460x = 44,418 × 44,418
  4. Step 4: Simplify right side
    33,460x = 1,972,958,724
  5. Step 5: Solve for x
    x = 1,972,958,724/33,460
  6. Step 6: Final answer
    x = 58,964.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.