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Finding the Third Proportional to 15,232 and 36,496

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Solution

The third proportional to 15,232 and 36,496 is: 87,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232 : 36,496 = 36,496 : x
  2. Step 2: Convert to fraction form
    15,232/36,496 = 36,496/x
  3. Step 3: Cross multiply
    15,232x = 36,496 × 36,496
  4. Step 4: Simplify right side
    15,232x = 1,331,958,016
  5. Step 5: Solve for x
    x = 1,331,958,016/15,232
  6. Step 6: Final answer
    x = 87,444.72

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.