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Finding the Third Proportional to 11,109 and 14,467.50

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Solution

The third proportional to 11,109 and 14,467.50 is: 18,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109 : 14,467.50 = 14,467.50 : x
  2. Step 2: Convert to fraction form
    11,109/14,467.50 = 14,467.50/x
  3. Step 3: Cross multiply
    11,109x = 14,467.50 × 14,467.50
  4. Step 4: Simplify right side
    11,109x = 209,308,556.25
  5. Step 5: Solve for x
    x = 209,308,556.25/11,109
  6. Step 6: Final answer
    x = 18,841.35

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.