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Finding the Third Proportional to 12,055.50 and 13,729.50

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Solution

The third proportional to 12,055.50 and 13,729.50 is: 15,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,055.50 : 13,729.50 = 13,729.50 : x
  2. Step 2: Convert to fraction form
    12,055.50/13,729.50 = 13,729.50/x
  3. Step 3: Cross multiply
    12,055.50x = 13,729.50 × 13,729.50
  4. Step 4: Simplify right side
    12,055.50x = 188,499,170.25
  5. Step 5: Solve for x
    x = 188,499,170.25/12,055.50
  6. Step 6: Final answer
    x = 15,635.95

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.