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Finding the Third Proportional to 23,496 and 36,357

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Solution

The third proportional to 23,496 and 36,357 is: 56,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496 : 36,357 = 36,357 : x
  2. Step 2: Convert to fraction form
    23,496/36,357 = 36,357/x
  3. Step 3: Cross multiply
    23,496x = 36,357 × 36,357
  4. Step 4: Simplify right side
    23,496x = 1,321,831,449
  5. Step 5: Solve for x
    x = 1,321,831,449/23,496
  6. Step 6: Final answer
    x = 56,257.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.