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Finding the Third Proportional to 11,956.50 and 13,540.50

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Solution

The third proportional to 11,956.50 and 13,540.50 is: 15,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.50 : 13,540.50 = 13,540.50 : x
  2. Step 2: Convert to fraction form
    11,956.50/13,540.50 = 13,540.50/x
  3. Step 3: Cross multiply
    11,956.50x = 13,540.50 × 13,540.50
  4. Step 4: Simplify right side
    11,956.50x = 183,345,140.25
  5. Step 5: Solve for x
    x = 183,345,140.25/11,956.50
  6. Step 6: Final answer
    x = 15,334.35

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.