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Finding the Third Proportional to 11,131.50 and 12,895.50

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Solution

The third proportional to 11,131.50 and 12,895.50 is: 14,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.50 : 12,895.50 = 12,895.50 : x
  2. Step 2: Convert to fraction form
    11,131.50/12,895.50 = 12,895.50/x
  3. Step 3: Cross multiply
    11,131.50x = 12,895.50 × 12,895.50
  4. Step 4: Simplify right side
    11,131.50x = 166,293,920.25
  5. Step 5: Solve for x
    x = 166,293,920.25/11,131.50
  6. Step 6: Final answer
    x = 14,939.04

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.