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Finding the Third Proportional to 4,895.44 and 11,418.47

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Solution

The third proportional to 4,895.44 and 11,418.47 is: 26,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.44 : 11,418.47 = 11,418.47 : x
  2. Step 2: Convert to fraction form
    4,895.44/11,418.47 = 11,418.47/x
  3. Step 3: Cross multiply
    4,895.44x = 11,418.47 × 11,418.47
  4. Step 4: Simplify right side
    4,895.44x = 130,381,428.59
  5. Step 5: Solve for x
    x = 130,381,428.59/4,895.44
  6. Step 6: Final answer
    x = 26,633.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.