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Finding the Third Proportional to 25,512 and 60,324

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Solution

The third proportional to 25,512 and 60,324 is: 142,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,512 : 60,324 = 60,324 : x
  2. Step 2: Convert to fraction form
    25,512/60,324 = 60,324/x
  3. Step 3: Cross multiply
    25,512x = 60,324 × 60,324
  4. Step 4: Simplify right side
    25,512x = 3,638,984,976
  5. Step 5: Solve for x
    x = 3,638,984,976/25,512
  6. Step 6: Final answer
    x = 142,638.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.