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Finding the Third Proportional to 2,369.25 and 3,468.38

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Solution

The third proportional to 2,369.25 and 3,468.38 is: 5,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.25 : 3,468.38 = 3,468.38 : x
  2. Step 2: Convert to fraction form
    2,369.25/3,468.38 = 3,468.38/x
  3. Step 3: Cross multiply
    2,369.25x = 3,468.38 × 3,468.38
  4. Step 4: Simplify right side
    2,369.25x = 12,029,625.14
  5. Step 5: Solve for x
    x = 12,029,625.14/2,369.25
  6. Step 6: Final answer
    x = 5,077.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.