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Finding the Third Proportional to 1,664.53 and 3,642.23

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Solution

The third proportional to 1,664.53 and 3,642.23 is: 7,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.53 : 3,642.23 = 3,642.23 : x
  2. Step 2: Convert to fraction form
    1,664.53/3,642.23 = 3,642.23/x
  3. Step 3: Cross multiply
    1,664.53x = 3,642.23 × 3,642.23
  4. Step 4: Simplify right side
    1,664.53x = 13,265,871.24
  5. Step 5: Solve for x
    x = 13,265,871.24/1,664.53
  6. Step 6: Final answer
    x = 7,969.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.