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Finding the Third Proportional to 2,046.94 and 3,795.19

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Solution

The third proportional to 2,046.94 and 3,795.19 is: 7,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.94 : 3,795.19 = 3,795.19 : x
  2. Step 2: Convert to fraction form
    2,046.94/3,795.19 = 3,795.19/x
  3. Step 3: Cross multiply
    2,046.94x = 3,795.19 × 3,795.19
  4. Step 4: Simplify right side
    2,046.94x = 14,403,448.16
  5. Step 5: Solve for x
    x = 14,403,448.16/2,046.94
  6. Step 6: Final answer
    x = 7,036.58

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.