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Finding the Third Proportional to 9,365 and 13,201

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Solution

The third proportional to 9,365 and 13,201 is: 18,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365 : 13,201 = 13,201 : x
  2. Step 2: Convert to fraction form
    9,365/13,201 = 13,201/x
  3. Step 3: Cross multiply
    9,365x = 13,201 × 13,201
  4. Step 4: Simplify right side
    9,365x = 174,266,401
  5. Step 5: Solve for x
    x = 174,266,401/9,365
  6. Step 6: Final answer
    x = 18,608.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.