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Finding the Third Proportional to 1,722.09 and 3,718.83

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Solution

The third proportional to 1,722.09 and 3,718.83 is: 8,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.09 : 3,718.83 = 3,718.83 : x
  2. Step 2: Convert to fraction form
    1,722.09/3,718.83 = 3,718.83/x
  3. Step 3: Cross multiply
    1,722.09x = 3,718.83 × 3,718.83
  4. Step 4: Simplify right side
    1,722.09x = 13,829,682.62
  5. Step 5: Solve for x
    x = 13,829,682.62/1,722.09
  6. Step 6: Final answer
    x = 8,030.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.