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Finding the Third Proportional to 5,315.63 and 11,496.94

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Solution

The third proportional to 5,315.63 and 11,496.94 is: 24,866.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.63 : 11,496.94 = 11,496.94 : x
  2. Step 2: Convert to fraction form
    5,315.63/11,496.94 = 11,496.94/x
  3. Step 3: Cross multiply
    5,315.63x = 11,496.94 × 11,496.94
  4. Step 4: Simplify right side
    5,315.63x = 132,179,571.88
  5. Step 5: Solve for x
    x = 132,179,571.88/5,315.63
  6. Step 6: Final answer
    x = 24,866.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.