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Finding the Third Proportional to 41,908 and 59,406

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Solution

The third proportional to 41,908 and 59,406 is: 84,210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,908 : 59,406 = 59,406 : x
  2. Step 2: Convert to fraction form
    41,908/59,406 = 59,406/x
  3. Step 3: Cross multiply
    41,908x = 59,406 × 59,406
  4. Step 4: Simplify right side
    41,908x = 3,529,072,836
  5. Step 5: Solve for x
    x = 3,529,072,836/41,908
  6. Step 6: Final answer
    x = 84,210.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.