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Finding the Third Proportional to 5,169.02 and 11,322.91

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Solution

The third proportional to 5,169.02 and 11,322.91 is: 24,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.02 : 11,322.91 = 11,322.91 : x
  2. Step 2: Convert to fraction form
    5,169.02/11,322.91 = 11,322.91/x
  3. Step 3: Cross multiply
    5,169.02x = 11,322.91 × 11,322.91
  4. Step 4: Simplify right side
    5,169.02x = 128,208,382.87
  5. Step 5: Solve for x
    x = 128,208,382.87/5,169.02
  6. Step 6: Final answer
    x = 24,803.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.