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Finding the Third Proportional to 4,490.44 and 9,468.14

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Solution

The third proportional to 4,490.44 and 9,468.14 is: 19,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.44 : 9,468.14 = 9,468.14 : x
  2. Step 2: Convert to fraction form
    4,490.44/9,468.14 = 9,468.14/x
  3. Step 3: Cross multiply
    4,490.44x = 9,468.14 × 9,468.14
  4. Step 4: Simplify right side
    4,490.44x = 89,645,686.89
  5. Step 5: Solve for x
    x = 89,645,686.89/4,490.44
  6. Step 6: Final answer
    x = 19,963.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.