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Finding the Third Proportional to 11,588.06 and 18,917.93

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Solution

The third proportional to 11,588.06 and 18,917.93 is: 30,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.06 : 18,917.93 = 18,917.93 : x
  2. Step 2: Convert to fraction form
    11,588.06/18,917.93 = 18,917.93/x
  3. Step 3: Cross multiply
    11,588.06x = 18,917.93 × 18,917.93
  4. Step 4: Simplify right side
    11,588.06x = 357,888,063.66
  5. Step 5: Solve for x
    x = 357,888,063.66/11,588.06
  6. Step 6: Final answer
    x = 30,884.20

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.