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Finding the Third Proportional to 8,773.88 and 11,383.50

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Solution

The third proportional to 8,773.88 and 11,383.50 is: 14,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,773.88 : 11,383.50 = 11,383.50 : x
  2. Step 2: Convert to fraction form
    8,773.88/11,383.50 = 11,383.50/x
  3. Step 3: Cross multiply
    8,773.88x = 11,383.50 × 11,383.50
  4. Step 4: Simplify right side
    8,773.88x = 129,584,072.25
  5. Step 5: Solve for x
    x = 129,584,072.25/8,773.88
  6. Step 6: Final answer
    x = 14,769.31

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.