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Finding the Third Proportional to 23,688 and 33,672

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Solution

The third proportional to 23,688 and 33,672 is: 47,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,688 : 33,672 = 33,672 : x
  2. Step 2: Convert to fraction form
    23,688/33,672 = 33,672/x
  3. Step 3: Cross multiply
    23,688x = 33,672 × 33,672
  4. Step 4: Simplify right side
    23,688x = 1,133,803,584
  5. Step 5: Solve for x
    x = 1,133,803,584/23,688
  6. Step 6: Final answer
    x = 47,864.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.