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Finding the Third Proportional to 10,801.69 and 16,802.44

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Solution

The third proportional to 10,801.69 and 16,802.44 is: 26,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.69 : 16,802.44 = 16,802.44 : x
  2. Step 2: Convert to fraction form
    10,801.69/16,802.44 = 16,802.44/x
  3. Step 3: Cross multiply
    10,801.69x = 16,802.44 × 16,802.44
  4. Step 4: Simplify right side
    10,801.69x = 282,321,905.94
  5. Step 5: Solve for x
    x = 282,321,905.94/10,801.69
  6. Step 6: Final answer
    x = 26,136.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.