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Finding the Third Proportional to 10,801.69 and 16,764.75

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Solution

The third proportional to 10,801.69 and 16,764.75 is: 26,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.69 : 16,764.75 = 16,764.75 : x
  2. Step 2: Convert to fraction form
    10,801.69/16,764.75 = 16,764.75/x
  3. Step 3: Cross multiply
    10,801.69x = 16,764.75 × 16,764.75
  4. Step 4: Simplify right side
    10,801.69x = 281,056,842.56
  5. Step 5: Solve for x
    x = 281,056,842.56/10,801.69
  6. Step 6: Final answer
    x = 26,019.72

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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.