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Finding the Third Proportional to 26,784 and 41,198.63

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Solution

The third proportional to 26,784 and 41,198.63 is: 63,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,784 : 41,198.63 = 41,198.63 : x
  2. Step 2: Convert to fraction form
    26,784/41,198.63 = 41,198.63/x
  3. Step 3: Cross multiply
    26,784x = 41,198.63 × 41,198.63
  4. Step 4: Simplify right side
    26,784x = 1,697,326,701.89
  5. Step 5: Solve for x
    x = 1,697,326,701.89/26,784
  6. Step 6: Final answer
    x = 63,370.92

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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.