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Finding the Third Proportional to 11,211 and 17,359.50

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Solution

The third proportional to 11,211 and 17,359.50 is: 26,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211 : 17,359.50 = 17,359.50 : x
  2. Step 2: Convert to fraction form
    11,211/17,359.50 = 17,359.50/x
  3. Step 3: Cross multiply
    11,211x = 17,359.50 × 17,359.50
  4. Step 4: Simplify right side
    11,211x = 301,352,240.25
  5. Step 5: Solve for x
    x = 301,352,240.25/11,211
  6. Step 6: Final answer
    x = 26,880.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.