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Finding the Third Proportional to 15,855 and 37,496

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Solution

The third proportional to 15,855 and 37,496 is: 88,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855 : 37,496 = 37,496 : x
  2. Step 2: Convert to fraction form
    15,855/37,496 = 37,496/x
  3. Step 3: Cross multiply
    15,855x = 37,496 × 37,496
  4. Step 4: Simplify right side
    15,855x = 1,405,950,016
  5. Step 5: Solve for x
    x = 1,405,950,016/15,855
  6. Step 6: Final answer
    x = 88,675.50

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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.