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Finding the Third Proportional to 11,664 and 15,309

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Solution

The third proportional to 11,664 and 15,309 is: 20,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664 : 15,309 = 15,309 : x
  2. Step 2: Convert to fraction form
    11,664/15,309 = 15,309/x
  3. Step 3: Cross multiply
    11,664x = 15,309 × 15,309
  4. Step 4: Simplify right side
    11,664x = 234,365,481
  5. Step 5: Solve for x
    x = 234,365,481/11,664
  6. Step 6: Final answer
    x = 20,093.06

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.