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Finding the Third Proportional to 2,365.88 and 3,612.94

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Solution

The third proportional to 2,365.88 and 3,612.94 is: 5,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.88 : 3,612.94 = 3,612.94 : x
  2. Step 2: Convert to fraction form
    2,365.88/3,612.94 = 3,612.94/x
  3. Step 3: Cross multiply
    2,365.88x = 3,612.94 × 3,612.94
  4. Step 4: Simplify right side
    2,365.88x = 13,053,317.38
  5. Step 5: Solve for x
    x = 13,053,317.38/2,365.88
  6. Step 6: Final answer
    x = 5,517.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.