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Finding the Third Proportional to 15,512 and 23,728

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Solution

The third proportional to 15,512 and 23,728 is: 36,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,512 : 23,728 = 23,728 : x
  2. Step 2: Convert to fraction form
    15,512/23,728 = 23,728/x
  3. Step 3: Cross multiply
    15,512x = 23,728 × 23,728
  4. Step 4: Simplify right side
    15,512x = 563,017,984
  5. Step 5: Solve for x
    x = 563,017,984/15,512
  6. Step 6: Final answer
    x = 36,295.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.