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Finding the Third Proportional to 1,668.73 and 2,604.18

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Solution

The third proportional to 1,668.73 and 2,604.18 is: 4,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.73 : 2,604.18 = 2,604.18 : x
  2. Step 2: Convert to fraction form
    1,668.73/2,604.18 = 2,604.18/x
  3. Step 3: Cross multiply
    1,668.73x = 2,604.18 × 2,604.18
  4. Step 4: Simplify right side
    1,668.73x = 6,781,762.02
  5. Step 5: Solve for x
    x = 6,781,762.02/1,668.73
  6. Step 6: Final answer
    x = 4,064.03

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.