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Finding the Third Proportional to 41,649 and 59,358

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Solution

The third proportional to 41,649 and 59,358 is: 84,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,649 : 59,358 = 59,358 : x
  2. Step 2: Convert to fraction form
    41,649/59,358 = 59,358/x
  3. Step 3: Cross multiply
    41,649x = 59,358 × 59,358
  4. Step 4: Simplify right side
    41,649x = 3,523,372,164
  5. Step 5: Solve for x
    x = 3,523,372,164/41,649
  6. Step 6: Final answer
    x = 84,596.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.