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Finding the Third Proportional to 11,309.63 and 26,218.69

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Solution

The third proportional to 11,309.63 and 26,218.69 is: 60,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.63 : 26,218.69 = 26,218.69 : x
  2. Step 2: Convert to fraction form
    11,309.63/26,218.69 = 26,218.69/x
  3. Step 3: Cross multiply
    11,309.63x = 26,218.69 × 26,218.69
  4. Step 4: Simplify right side
    11,309.63x = 687,419,574.22
  5. Step 5: Solve for x
    x = 687,419,574.22/11,309.63
  6. Step 6: Final answer
    x = 60,781.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.