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Finding the Third Proportional to 12,777.75 and 26,443.13

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Solution

The third proportional to 12,777.75 and 26,443.13 is: 54,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.75 : 26,443.13 = 26,443.13 : x
  2. Step 2: Convert to fraction form
    12,777.75/26,443.13 = 26,443.13/x
  3. Step 3: Cross multiply
    12,777.75x = 26,443.13 × 26,443.13
  4. Step 4: Simplify right side
    12,777.75x = 699,238,859.77
  5. Step 5: Solve for x
    x = 699,238,859.77/12,777.75
  6. Step 6: Final answer
    x = 54,723.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.