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Finding the Third Proportional to 11,009 and 17,054.50

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Solution

The third proportional to 11,009 and 17,054.50 is: 26,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009 : 17,054.50 = 17,054.50 : x
  2. Step 2: Convert to fraction form
    11,009/17,054.50 = 17,054.50/x
  3. Step 3: Cross multiply
    11,009x = 17,054.50 × 17,054.50
  4. Step 4: Simplify right side
    11,009x = 290,855,970.25
  5. Step 5: Solve for x
    x = 290,855,970.25/11,009
  6. Step 6: Final answer
    x = 26,419.84

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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.