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Finding the Third Proportional to 11,005.88 and 18,057.94

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Solution

The third proportional to 11,005.88 and 18,057.94 is: 29,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.88 : 18,057.94 = 18,057.94 : x
  2. Step 2: Convert to fraction form
    11,005.88/18,057.94 = 18,057.94/x
  3. Step 3: Cross multiply
    11,005.88x = 18,057.94 × 18,057.94
  4. Step 4: Simplify right side
    11,005.88x = 326,089,106.75
  5. Step 5: Solve for x
    x = 326,089,106.75/11,005.88
  6. Step 6: Final answer
    x = 29,628.64

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.