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Finding the Third Proportional to 13,840.88 and 20,925

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Solution

The third proportional to 13,840.88 and 20,925 is: 31,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.88 : 20,925 = 20,925 : x
  2. Step 2: Convert to fraction form
    13,840.88/20,925 = 20,925/x
  3. Step 3: Cross multiply
    13,840.88x = 20,925 × 20,925
  4. Step 4: Simplify right side
    13,840.88x = 437,855,625
  5. Step 5: Solve for x
    x = 437,855,625/13,840.88
  6. Step 6: Final answer
    x = 31,634.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.