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Finding the Third Proportional to 5,135.06 and 10,832.06

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Solution

The third proportional to 5,135.06 and 10,832.06 is: 22,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.06 : 10,832.06 = 10,832.06 : x
  2. Step 2: Convert to fraction form
    5,135.06/10,832.06 = 10,832.06/x
  3. Step 3: Cross multiply
    5,135.06x = 10,832.06 × 10,832.06
  4. Step 4: Simplify right side
    5,135.06x = 117,333,578.00
  5. Step 5: Solve for x
    x = 117,333,578.00/5,135.06
  6. Step 6: Final answer
    x = 22,849.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.