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Finding the Third Proportional to 14,171.88 and 20,486.50

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Solution

The third proportional to 14,171.88 and 20,486.50 is: 29,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.88 : 20,486.50 = 20,486.50 : x
  2. Step 2: Convert to fraction form
    14,171.88/20,486.50 = 20,486.50/x
  3. Step 3: Cross multiply
    14,171.88x = 20,486.50 × 20,486.50
  4. Step 4: Simplify right side
    14,171.88x = 419,696,682.25
  5. Step 5: Solve for x
    x = 419,696,682.25/14,171.88
  6. Step 6: Final answer
    x = 29,614.76

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.