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Finding the Third Proportional to 8,803.69 and 13,209.33

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Solution

The third proportional to 8,803.69 and 13,209.33 is: 19,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,803.69 : 13,209.33 = 13,209.33 : x
  2. Step 2: Convert to fraction form
    8,803.69/13,209.33 = 13,209.33/x
  3. Step 3: Cross multiply
    8,803.69x = 13,209.33 × 13,209.33
  4. Step 4: Simplify right side
    8,803.69x = 174,486,349.51
  5. Step 5: Solve for x
    x = 174,486,349.51/8,803.69
  6. Step 6: Final answer
    x = 19,819.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.