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Finding the Third Proportional to 10,778.25 and 16,554.75

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Solution

The third proportional to 10,778.25 and 16,554.75 is: 25,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.25 : 16,554.75 = 16,554.75 : x
  2. Step 2: Convert to fraction form
    10,778.25/16,554.75 = 16,554.75/x
  3. Step 3: Cross multiply
    10,778.25x = 16,554.75 × 16,554.75
  4. Step 4: Simplify right side
    10,778.25x = 274,059,747.56
  5. Step 5: Solve for x
    x = 274,059,747.56/10,778.25
  6. Step 6: Final answer
    x = 25,427.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.