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Finding the Third Proportional to 11,167.50 and 12,868.50

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Solution

The third proportional to 11,167.50 and 12,868.50 is: 14,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.50 : 12,868.50 = 12,868.50 : x
  2. Step 2: Convert to fraction form
    11,167.50/12,868.50 = 12,868.50/x
  3. Step 3: Cross multiply
    11,167.50x = 12,868.50 × 12,868.50
  4. Step 4: Simplify right side
    11,167.50x = 165,598,292.25
  5. Step 5: Solve for x
    x = 165,598,292.25/11,167.50
  6. Step 6: Final answer
    x = 14,828.59

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.