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Finding the Third Proportional to 1,703.86 and 3,668.72

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Solution

The third proportional to 1,703.86 and 3,668.72 is: 7,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.86 : 3,668.72 = 3,668.72 : x
  2. Step 2: Convert to fraction form
    1,703.86/3,668.72 = 3,668.72/x
  3. Step 3: Cross multiply
    1,703.86x = 3,668.72 × 3,668.72
  4. Step 4: Simplify right side
    1,703.86x = 13,459,497.27
  5. Step 5: Solve for x
    x = 13,459,497.27/1,703.86
  6. Step 6: Final answer
    x = 7,899.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.