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Finding the Third Proportional to 13,952.50 and 20,927

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Solution

The third proportional to 13,952.50 and 20,927 is: 31,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.50 : 20,927 = 20,927 : x
  2. Step 2: Convert to fraction form
    13,952.50/20,927 = 20,927/x
  3. Step 3: Cross multiply
    13,952.50x = 20,927 × 20,927
  4. Step 4: Simplify right side
    13,952.50x = 437,939,329
  5. Step 5: Solve for x
    x = 437,939,329/13,952.50
  6. Step 6: Final answer
    x = 31,387.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.