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Finding the Third Proportional to 8,669.50 and 13,394.50

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Solution

The third proportional to 8,669.50 and 13,394.50 is: 20,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.50 : 13,394.50 = 13,394.50 : x
  2. Step 2: Convert to fraction form
    8,669.50/13,394.50 = 13,394.50/x
  3. Step 3: Cross multiply
    8,669.50x = 13,394.50 × 13,394.50
  4. Step 4: Simplify right side
    8,669.50x = 179,412,630.25
  5. Step 5: Solve for x
    x = 179,412,630.25/8,669.50
  6. Step 6: Final answer
    x = 20,694.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.