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Finding the Third Proportional to 1,664.44 and 3,623.63

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Solution

The third proportional to 1,664.44 and 3,623.63 is: 7,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.44 : 3,623.63 = 3,623.63 : x
  2. Step 2: Convert to fraction form
    1,664.44/3,623.63 = 3,623.63/x
  3. Step 3: Cross multiply
    1,664.44x = 3,623.63 × 3,623.63
  4. Step 4: Simplify right side
    1,664.44x = 13,130,658.14
  5. Step 5: Solve for x
    x = 13,130,658.14/1,664.44
  6. Step 6: Final answer
    x = 7,888.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.