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Finding the Third Proportional to 13,645.69 and 21,699

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Solution

The third proportional to 13,645.69 and 21,699 is: 34,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.69 : 21,699 = 21,699 : x
  2. Step 2: Convert to fraction form
    13,645.69/21,699 = 21,699/x
  3. Step 3: Cross multiply
    13,645.69x = 21,699 × 21,699
  4. Step 4: Simplify right side
    13,645.69x = 470,846,601
  5. Step 5: Solve for x
    x = 470,846,601/13,645.69
  6. Step 6: Final answer
    x = 34,505.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.