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Finding the Third Proportional to 8,551 and 13,097

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Solution

The third proportional to 8,551 and 13,097 is: 20,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,551 : 13,097 = 13,097 : x
  2. Step 2: Convert to fraction form
    8,551/13,097 = 13,097/x
  3. Step 3: Cross multiply
    8,551x = 13,097 × 13,097
  4. Step 4: Simplify right side
    8,551x = 171,531,409
  5. Step 5: Solve for x
    x = 171,531,409/8,551
  6. Step 6: Final answer
    x = 20,059.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.