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Finding the Third Proportional to 1,663.88 and 2,365.03

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Solution

The third proportional to 1,663.88 and 2,365.03 is: 3,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.88 : 2,365.03 = 2,365.03 : x
  2. Step 2: Convert to fraction form
    1,663.88/2,365.03 = 2,365.03/x
  3. Step 3: Cross multiply
    1,663.88x = 2,365.03 × 2,365.03
  4. Step 4: Simplify right side
    1,663.88x = 5,593,372.81
  5. Step 5: Solve for x
    x = 5,593,372.81/1,663.88
  6. Step 6: Final answer
    x = 3,361.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.