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Finding the Third Proportional to 13,626.98 and 19,991.81

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Solution

The third proportional to 13,626.98 and 19,991.81 is: 29,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,626.98 : 19,991.81 = 19,991.81 : x
  2. Step 2: Convert to fraction form
    13,626.98/19,991.81 = 19,991.81/x
  3. Step 3: Cross multiply
    13,626.98x = 19,991.81 × 19,991.81
  4. Step 4: Simplify right side
    13,626.98x = 399,672,567.04
  5. Step 5: Solve for x
    x = 399,672,567.04/13,626.98
  6. Step 6: Final answer
    x = 29,329.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.