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Finding the Third Proportional to 11,010.94 and 16,774.59

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Solution

The third proportional to 11,010.94 and 16,774.59 is: 25,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,010.94 : 16,774.59 = 16,774.59 : x
  2. Step 2: Convert to fraction form
    11,010.94/16,774.59 = 16,774.59/x
  3. Step 3: Cross multiply
    11,010.94x = 16,774.59 × 16,774.59
  4. Step 4: Simplify right side
    11,010.94x = 281,386,995.48
  5. Step 5: Solve for x
    x = 281,386,995.48/11,010.94
  6. Step 6: Final answer
    x = 25,555.23

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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.