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Finding the Third Proportional to 6,404.06 and 13,127.06

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Solution

The third proportional to 6,404.06 and 13,127.06 is: 26,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.06 : 13,127.06 = 13,127.06 : x
  2. Step 2: Convert to fraction form
    6,404.06/13,127.06 = 13,127.06/x
  3. Step 3: Cross multiply
    6,404.06x = 13,127.06 × 13,127.06
  4. Step 4: Simplify right side
    6,404.06x = 172,319,769.88
  5. Step 5: Solve for x
    x = 172,319,769.88/6,404.06
  6. Step 6: Final answer
    x = 26,907.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.