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Finding the Third Proportional to 41,657 and 59,369

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Solution

The third proportional to 41,657 and 59,369 is: 84,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,657 : 59,369 = 59,369 : x
  2. Step 2: Convert to fraction form
    41,657/59,369 = 59,369/x
  3. Step 3: Cross multiply
    41,657x = 59,369 × 59,369
  4. Step 4: Simplify right side
    41,657x = 3,524,678,161
  5. Step 5: Solve for x
    x = 3,524,678,161/41,657
  6. Step 6: Final answer
    x = 84,611.91

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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.