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Finding the Third Proportional to 8,241.75 and 13,097.53

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Solution

The third proportional to 8,241.75 and 13,097.53 is: 20,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.75 : 13,097.53 = 13,097.53 : x
  2. Step 2: Convert to fraction form
    8,241.75/13,097.53 = 13,097.53/x
  3. Step 3: Cross multiply
    8,241.75x = 13,097.53 × 13,097.53
  4. Step 4: Simplify right side
    8,241.75x = 171,545,324.84
  5. Step 5: Solve for x
    x = 171,545,324.84/8,241.75
  6. Step 6: Final answer
    x = 20,814.19

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Why These Related Problems?

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