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Finding the Third Proportional to 9,065 and 14,009

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Solution

The third proportional to 9,065 and 14,009 is: 21,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065 : 14,009 = 14,009 : x
  2. Step 2: Convert to fraction form
    9,065/14,009 = 14,009/x
  3. Step 3: Cross multiply
    9,065x = 14,009 × 14,009
  4. Step 4: Simplify right side
    9,065x = 196,252,081
  5. Step 5: Solve for x
    x = 196,252,081/9,065
  6. Step 6: Final answer
    x = 21,649.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.