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Finding the Third Proportional to 3,927.23 and 5,597.86

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Solution

The third proportional to 3,927.23 and 5,597.86 is: 7,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.23 : 5,597.86 = 5,597.86 : x
  2. Step 2: Convert to fraction form
    3,927.23/5,597.86 = 5,597.86/x
  3. Step 3: Cross multiply
    3,927.23x = 5,597.86 × 5,597.86
  4. Step 4: Simplify right side
    3,927.23x = 31,336,029.58
  5. Step 5: Solve for x
    x = 31,336,029.58/3,927.23
  6. Step 6: Final answer
    x = 7,979.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.