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Finding the Third Proportional to 5,612.06 and 11,805.19

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Solution

The third proportional to 5,612.06 and 11,805.19 is: 24,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.06 : 11,805.19 = 11,805.19 : x
  2. Step 2: Convert to fraction form
    5,612.06/11,805.19 = 11,805.19/x
  3. Step 3: Cross multiply
    5,612.06x = 11,805.19 × 11,805.19
  4. Step 4: Simplify right side
    5,612.06x = 139,362,451.91
  5. Step 5: Solve for x
    x = 139,362,451.91/5,612.06
  6. Step 6: Final answer
    x = 24,832.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.