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Finding the Third Proportional to 26,582 and 41,704

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Solution

The third proportional to 26,582 and 41,704 is: 65,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,582 : 41,704 = 41,704 : x
  2. Step 2: Convert to fraction form
    26,582/41,704 = 41,704/x
  3. Step 3: Cross multiply
    26,582x = 41,704 × 41,704
  4. Step 4: Simplify right side
    26,582x = 1,739,223,616
  5. Step 5: Solve for x
    x = 1,739,223,616/26,582
  6. Step 6: Final answer
    x = 65,428.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.