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Finding the Third Proportional to 4,653 and 11,040.75

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Solution

The third proportional to 4,653 and 11,040.75 is: 26,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653 : 11,040.75 = 11,040.75 : x
  2. Step 2: Convert to fraction form
    4,653/11,040.75 = 11,040.75/x
  3. Step 3: Cross multiply
    4,653x = 11,040.75 × 11,040.75
  4. Step 4: Simplify right side
    4,653x = 121,898,160.56
  5. Step 5: Solve for x
    x = 121,898,160.56/4,653
  6. Step 6: Final answer
    x = 26,197.76

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.