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Finding the Third Proportional to 5,095.13 and 11,037.94

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Solution

The third proportional to 5,095.13 and 11,037.94 is: 23,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.13 : 11,037.94 = 11,037.94 : x
  2. Step 2: Convert to fraction form
    5,095.13/11,037.94 = 11,037.94/x
  3. Step 3: Cross multiply
    5,095.13x = 11,037.94 × 11,037.94
  4. Step 4: Simplify right side
    5,095.13x = 121,836,064.25
  5. Step 5: Solve for x
    x = 121,836,064.25/5,095.13
  6. Step 6: Final answer
    x = 23,912.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.