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Finding the Third Proportional to 11,797.88 and 26,218.13

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Solution

The third proportional to 11,797.88 and 26,218.13 is: 58,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.88 : 26,218.13 = 26,218.13 : x
  2. Step 2: Convert to fraction form
    11,797.88/26,218.13 = 26,218.13/x
  3. Step 3: Cross multiply
    11,797.88x = 26,218.13 × 26,218.13
  4. Step 4: Simplify right side
    11,797.88x = 687,390,078.52
  5. Step 5: Solve for x
    x = 687,390,078.52/11,797.88
  6. Step 6: Final answer
    x = 58,263.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.