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Finding the Third Proportional to 26,643 and 35,544.75

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Solution

The third proportional to 26,643 and 35,544.75 is: 47,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,643 : 35,544.75 = 35,544.75 : x
  2. Step 2: Convert to fraction form
    26,643/35,544.75 = 35,544.75/x
  3. Step 3: Cross multiply
    26,643x = 35,544.75 × 35,544.75
  4. Step 4: Simplify right side
    26,643x = 1,263,429,252.56
  5. Step 5: Solve for x
    x = 1,263,429,252.56/26,643
  6. Step 6: Final answer
    x = 47,420.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.