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Finding the Third Proportional to 11,035.50 and 16,808.25

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Solution

The third proportional to 11,035.50 and 16,808.25 is: 25,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,035.50 : 16,808.25 = 16,808.25 : x
  2. Step 2: Convert to fraction form
    11,035.50/16,808.25 = 16,808.25/x
  3. Step 3: Cross multiply
    11,035.50x = 16,808.25 × 16,808.25
  4. Step 4: Simplify right side
    11,035.50x = 282,517,268.06
  5. Step 5: Solve for x
    x = 282,517,268.06/11,035.50
  6. Step 6: Final answer
    x = 25,600.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.