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Finding the Third Proportional to 26,846.63 and 41,284.13

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Solution

The third proportional to 26,846.63 and 41,284.13 is: 63,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,846.63 : 41,284.13 = 41,284.13 : x
  2. Step 2: Convert to fraction form
    26,846.63/41,284.13 = 41,284.13/x
  3. Step 3: Cross multiply
    26,846.63x = 41,284.13 × 41,284.13
  4. Step 4: Simplify right side
    26,846.63x = 1,704,378,977.02
  5. Step 5: Solve for x
    x = 1,704,378,977.02/26,846.63
  6. Step 6: Final answer
    x = 63,485.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.