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Finding the Third Proportional to 2,399.63 and 3,699.42

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Solution

The third proportional to 2,399.63 and 3,699.42 is: 5,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.63 : 3,699.42 = 3,699.42 : x
  2. Step 2: Convert to fraction form
    2,399.63/3,699.42 = 3,699.42/x
  3. Step 3: Cross multiply
    2,399.63x = 3,699.42 × 3,699.42
  4. Step 4: Simplify right side
    2,399.63x = 13,685,722.21
  5. Step 5: Solve for x
    x = 13,685,722.21/2,399.63
  6. Step 6: Final answer
    x = 5,703.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.