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Finding the Third Proportional to 2,695.78 and 6,431.91

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Solution

The third proportional to 2,695.78 and 6,431.91 is: 15,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.78 : 6,431.91 = 6,431.91 : x
  2. Step 2: Convert to fraction form
    2,695.78/6,431.91 = 6,431.91/x
  3. Step 3: Cross multiply
    2,695.78x = 6,431.91 × 6,431.91
  4. Step 4: Simplify right side
    2,695.78x = 41,369,418.01
  5. Step 5: Solve for x
    x = 41,369,418.01/2,695.78
  6. Step 6: Final answer
    x = 15,345.98

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.