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Finding the Third Proportional to 11,488.50 and 13,311

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Solution

The third proportional to 11,488.50 and 13,311 is: 15,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.50 : 13,311 = 13,311 : x
  2. Step 2: Convert to fraction form
    11,488.50/13,311 = 13,311/x
  3. Step 3: Cross multiply
    11,488.50x = 13,311 × 13,311
  4. Step 4: Simplify right side
    11,488.50x = 177,182,721
  5. Step 5: Solve for x
    x = 177,182,721/11,488.50
  6. Step 6: Final answer
    x = 15,422.62

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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.