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Finding the Third Proportional to 6,111.07 and 13,234.01

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Solution

The third proportional to 6,111.07 and 13,234.01 is: 28,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.07 : 13,234.01 = 13,234.01 : x
  2. Step 2: Convert to fraction form
    6,111.07/13,234.01 = 13,234.01/x
  3. Step 3: Cross multiply
    6,111.07x = 13,234.01 × 13,234.01
  4. Step 4: Simplify right side
    6,111.07x = 175,138,962.78
  5. Step 5: Solve for x
    x = 175,138,962.78/6,111.07
  6. Step 6: Final answer
    x = 28,659.29

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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.