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Finding the Third Proportional to 4,696.13 and 11,105.81

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Solution

The third proportional to 4,696.13 and 11,105.81 is: 26,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.13 : 11,105.81 = 11,105.81 : x
  2. Step 2: Convert to fraction form
    4,696.13/11,105.81 = 11,105.81/x
  3. Step 3: Cross multiply
    4,696.13x = 11,105.81 × 11,105.81
  4. Step 4: Simplify right side
    4,696.13x = 123,339,071.29
  5. Step 5: Solve for x
    x = 123,339,071.29/4,696.13
  6. Step 6: Final answer
    x = 26,264.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.