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Finding the Third Proportional to 9,398 and 13,152

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Solution

The third proportional to 9,398 and 13,152 is: 18,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398 : 13,152 = 13,152 : x
  2. Step 2: Convert to fraction form
    9,398/13,152 = 13,152/x
  3. Step 3: Cross multiply
    9,398x = 13,152 × 13,152
  4. Step 4: Simplify right side
    9,398x = 172,975,104
  5. Step 5: Solve for x
    x = 172,975,104/9,398
  6. Step 6: Final answer
    x = 18,405.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.