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Finding the Third Proportional to 9,301 and 13,009

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Solution

The third proportional to 9,301 and 13,009 is: 18,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301 : 13,009 = 13,009 : x
  2. Step 2: Convert to fraction form
    9,301/13,009 = 13,009/x
  3. Step 3: Cross multiply
    9,301x = 13,009 × 13,009
  4. Step 4: Simplify right side
    9,301x = 169,234,081
  5. Step 5: Solve for x
    x = 169,234,081/9,301
  6. Step 6: Final answer
    x = 18,195.26

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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.