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Finding the Third Proportional to 5,511.94 and 13,001.06

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Solution

The third proportional to 5,511.94 and 13,001.06 is: 30,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.94 : 13,001.06 = 13,001.06 : x
  2. Step 2: Convert to fraction form
    5,511.94/13,001.06 = 13,001.06/x
  3. Step 3: Cross multiply
    5,511.94x = 13,001.06 × 13,001.06
  4. Step 4: Simplify right side
    5,511.94x = 169,027,626.13
  5. Step 5: Solve for x
    x = 169,027,626.13/5,511.94
  6. Step 6: Final answer
    x = 30,665.74

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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.