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Finding the Third Proportional to 1,817.44 and 3,808.69

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Solution

The third proportional to 1,817.44 and 3,808.69 is: 7,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.44 : 3,808.69 = 3,808.69 : x
  2. Step 2: Convert to fraction form
    1,817.44/3,808.69 = 3,808.69/x
  3. Step 3: Cross multiply
    1,817.44x = 3,808.69 × 3,808.69
  4. Step 4: Simplify right side
    1,817.44x = 14,506,100.47
  5. Step 5: Solve for x
    x = 14,506,100.47/1,817.44
  6. Step 6: Final answer
    x = 7,981.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.