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Finding the Third Proportional to 2,068.03 and 3,162.80

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Solution

The third proportional to 2,068.03 and 3,162.80 is: 4,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.03 : 3,162.80 = 3,162.80 : x
  2. Step 2: Convert to fraction form
    2,068.03/3,162.80 = 3,162.80/x
  3. Step 3: Cross multiply
    2,068.03x = 3,162.80 × 3,162.80
  4. Step 4: Simplify right side
    2,068.03x = 10,003,284.07
  5. Step 5: Solve for x
    x = 10,003,284.07/2,068.03
  6. Step 6: Final answer
    x = 4,837.10

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.