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Finding the Third Proportional to 2,187.84 and 3,399.89

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Solution

The third proportional to 2,187.84 and 3,399.89 is: 5,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.84 : 3,399.89 = 3,399.89 : x
  2. Step 2: Convert to fraction form
    2,187.84/3,399.89 = 3,399.89/x
  3. Step 3: Cross multiply
    2,187.84x = 3,399.89 × 3,399.89
  4. Step 4: Simplify right side
    2,187.84x = 11,559,256.26
  5. Step 5: Solve for x
    x = 11,559,256.26/2,187.84
  6. Step 6: Final answer
    x = 5,283.40

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