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Finding the Third Proportional to 11,712.09 and 25,608.66

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Solution

The third proportional to 11,712.09 and 25,608.66 is: 55,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.09 : 25,608.66 = 25,608.66 : x
  2. Step 2: Convert to fraction form
    11,712.09/25,608.66 = 25,608.66/x
  3. Step 3: Cross multiply
    11,712.09x = 25,608.66 × 25,608.66
  4. Step 4: Simplify right side
    11,712.09x = 655,803,274.93
  5. Step 5: Solve for x
    x = 655,803,274.93/11,712.09
  6. Step 6: Final answer
    x = 55,993.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.