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Finding the Third Proportional to 2,477.25 and 3,840.38

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Solution

The third proportional to 2,477.25 and 3,840.38 is: 5,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.25 : 3,840.38 = 3,840.38 : x
  2. Step 2: Convert to fraction form
    2,477.25/3,840.38 = 3,840.38/x
  3. Step 3: Cross multiply
    2,477.25x = 3,840.38 × 3,840.38
  4. Step 4: Simplify right side
    2,477.25x = 14,748,480.14
  5. Step 5: Solve for x
    x = 14,748,480.14/2,477.25
  6. Step 6: Final answer
    x = 5,953.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.