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Finding the Third Proportional to 11,683 and 25,309

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Solution

The third proportional to 11,683 and 25,309 is: 54,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683 : 25,309 = 25,309 : x
  2. Step 2: Convert to fraction form
    11,683/25,309 = 25,309/x
  3. Step 3: Cross multiply
    11,683x = 25,309 × 25,309
  4. Step 4: Simplify right side
    11,683x = 640,545,481
  5. Step 5: Solve for x
    x = 640,545,481/11,683
  6. Step 6: Final answer
    x = 54,827.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.