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Finding the Third Proportional to 41,775 and 60,358

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Solution

The third proportional to 41,775 and 60,358 is: 87,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,775 : 60,358 = 60,358 : x
  2. Step 2: Convert to fraction form
    41,775/60,358 = 60,358/x
  3. Step 3: Cross multiply
    41,775x = 60,358 × 60,358
  4. Step 4: Simplify right side
    41,775x = 3,643,088,164
  5. Step 5: Solve for x
    x = 3,643,088,164/41,775
  6. Step 6: Final answer
    x = 87,207.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.