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Finding the Third Proportional to 41,738 and 66,354

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Solution

The third proportional to 41,738 and 66,354 is: 105,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,738 : 66,354 = 66,354 : x
  2. Step 2: Convert to fraction form
    41,738/66,354 = 66,354/x
  3. Step 3: Cross multiply
    41,738x = 66,354 × 66,354
  4. Step 4: Simplify right side
    41,738x = 4,402,853,316
  5. Step 5: Solve for x
    x = 4,402,853,316/41,738
  6. Step 6: Final answer
    x = 105,487.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.