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Finding the Third Proportional to 11,688 and 25,866

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Solution

The third proportional to 11,688 and 25,866 is: 57,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688 : 25,866 = 25,866 : x
  2. Step 2: Convert to fraction form
    11,688/25,866 = 25,866/x
  3. Step 3: Cross multiply
    11,688x = 25,866 × 25,866
  4. Step 4: Simplify right side
    11,688x = 669,049,956
  5. Step 5: Solve for x
    x = 669,049,956/11,688
  6. Step 6: Final answer
    x = 57,242.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.