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Finding the Third Proportional to 10,697.25 and 16,040.25

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Solution

The third proportional to 10,697.25 and 16,040.25 is: 24,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.25 : 16,040.25 = 16,040.25 : x
  2. Step 2: Convert to fraction form
    10,697.25/16,040.25 = 16,040.25/x
  3. Step 3: Cross multiply
    10,697.25x = 16,040.25 × 16,040.25
  4. Step 4: Simplify right side
    10,697.25x = 257,289,620.06
  5. Step 5: Solve for x
    x = 257,289,620.06/10,697.25
  6. Step 6: Final answer
    x = 24,051.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.