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Finding the Third Proportional to 13,884.75 and 14,932.69

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Solution

The third proportional to 13,884.75 and 14,932.69 is: 16,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.75 : 14,932.69 = 14,932.69 : x
  2. Step 2: Convert to fraction form
    13,884.75/14,932.69 = 14,932.69/x
  3. Step 3: Cross multiply
    13,884.75x = 14,932.69 × 14,932.69
  4. Step 4: Simplify right side
    13,884.75x = 222,985,155.97
  5. Step 5: Solve for x
    x = 222,985,155.97/13,884.75
  6. Step 6: Final answer
    x = 16,059.72

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.