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Finding the Third Proportional to 9,269 and 14,309

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Solution

The third proportional to 9,269 and 14,309 is: 22,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269 : 14,309 = 14,309 : x
  2. Step 2: Convert to fraction form
    9,269/14,309 = 14,309/x
  3. Step 3: Cross multiply
    9,269x = 14,309 × 14,309
  4. Step 4: Simplify right side
    9,269x = 204,747,481
  5. Step 5: Solve for x
    x = 204,747,481/9,269
  6. Step 6: Final answer
    x = 22,089.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.