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Finding the Third Proportional to 1,811.74 and 2,710.34

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Solution

The third proportional to 1,811.74 and 2,710.34 is: 4,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.74 : 2,710.34 = 2,710.34 : x
  2. Step 2: Convert to fraction form
    1,811.74/2,710.34 = 2,710.34/x
  3. Step 3: Cross multiply
    1,811.74x = 2,710.34 × 2,710.34
  4. Step 4: Simplify right side
    1,811.74x = 7,345,920.89
  5. Step 5: Solve for x
    x = 7,345,920.89/1,811.74
  6. Step 6: Final answer
    x = 4,054.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.