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Finding the Third Proportional to 15,261 and 36,753

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Solution

The third proportional to 15,261 and 36,753 is: 88,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,261 : 36,753 = 36,753 : x
  2. Step 2: Convert to fraction form
    15,261/36,753 = 36,753/x
  3. Step 3: Cross multiply
    15,261x = 36,753 × 36,753
  4. Step 4: Simplify right side
    15,261x = 1,350,783,009
  5. Step 5: Solve for x
    x = 1,350,783,009/15,261
  6. Step 6: Final answer
    x = 88,512.09

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.