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Finding the Third Proportional to 41,085 and 63,368

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Solution

The third proportional to 41,085 and 63,368 is: 97,736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,085 : 63,368 = 63,368 : x
  2. Step 2: Convert to fraction form
    41,085/63,368 = 63,368/x
  3. Step 3: Cross multiply
    41,085x = 63,368 × 63,368
  4. Step 4: Simplify right side
    41,085x = 4,015,503,424
  5. Step 5: Solve for x
    x = 4,015,503,424/41,085
  6. Step 6: Final answer
    x = 97,736.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.