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Finding the Third Proportional to 4,458.94 and 6,369.47

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Solution

The third proportional to 4,458.94 and 6,369.47 is: 9,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.94 : 6,369.47 = 6,369.47 : x
  2. Step 2: Convert to fraction form
    4,458.94/6,369.47 = 6,369.47/x
  3. Step 3: Cross multiply
    4,458.94x = 6,369.47 × 6,369.47
  4. Step 4: Simplify right side
    4,458.94x = 40,570,132.16
  5. Step 5: Solve for x
    x = 40,570,132.16/4,458.94
  6. Step 6: Final answer
    x = 9,098.61

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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.