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Finding the Third Proportional to 8,069.88 and 11,783.75

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Solution

The third proportional to 8,069.88 and 11,783.75 is: 17,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.88 : 11,783.75 = 11,783.75 : x
  2. Step 2: Convert to fraction form
    8,069.88/11,783.75 = 11,783.75/x
  3. Step 3: Cross multiply
    8,069.88x = 11,783.75 × 11,783.75
  4. Step 4: Simplify right side
    8,069.88x = 138,856,764.06
  5. Step 5: Solve for x
    x = 138,856,764.06/8,069.88
  6. Step 6: Final answer
    x = 17,206.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.