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Finding the Third Proportional to 2,399.63 and 3,654.28

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Solution

The third proportional to 2,399.63 and 3,654.28 is: 5,564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.63 : 3,654.28 = 3,654.28 : x
  2. Step 2: Convert to fraction form
    2,399.63/3,654.28 = 3,654.28/x
  3. Step 3: Cross multiply
    2,399.63x = 3,654.28 × 3,654.28
  4. Step 4: Simplify right side
    2,399.63x = 13,353,771.45
  5. Step 5: Solve for x
    x = 13,353,771.45/2,399.63
  6. Step 6: Final answer
    x = 5,564.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.