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Finding the Third Proportional to 41,526 and 59,694

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Solution

The third proportional to 41,526 and 59,694 is: 85,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,526 : 59,694 = 59,694 : x
  2. Step 2: Convert to fraction form
    41,526/59,694 = 59,694/x
  3. Step 3: Cross multiply
    41,526x = 59,694 × 59,694
  4. Step 4: Simplify right side
    41,526x = 3,563,373,636
  5. Step 5: Solve for x
    x = 3,563,373,636/41,526
  6. Step 6: Final answer
    x = 85,810.66

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