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Finding the Third Proportional to 17,636 and 26,458

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Solution

The third proportional to 17,636 and 26,458 is: 39,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,636 : 26,458 = 26,458 : x
  2. Step 2: Convert to fraction form
    17,636/26,458 = 26,458/x
  3. Step 3: Cross multiply
    17,636x = 26,458 × 26,458
  4. Step 4: Simplify right side
    17,636x = 700,025,764
  5. Step 5: Solve for x
    x = 700,025,764/17,636
  6. Step 6: Final answer
    x = 39,693.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.