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Finding the Third Proportional to 11,264.06 and 23,697.56

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Solution

The third proportional to 11,264.06 and 23,697.56 is: 49,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.06 : 23,697.56 = 23,697.56 : x
  2. Step 2: Convert to fraction form
    11,264.06/23,697.56 = 23,697.56/x
  3. Step 3: Cross multiply
    11,264.06x = 23,697.56 × 23,697.56
  4. Step 4: Simplify right side
    11,264.06x = 561,574,468.44
  5. Step 5: Solve for x
    x = 561,574,468.44/11,264.06
  6. Step 6: Final answer
    x = 49,855.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.