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Finding the Third Proportional to 2,707 and 2,990.50

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Solution

The third proportional to 2,707 and 2,990.50 is: 3,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707 : 2,990.50 = 2,990.50 : x
  2. Step 2: Convert to fraction form
    2,707/2,990.50 = 2,990.50/x
  3. Step 3: Cross multiply
    2,707x = 2,990.50 × 2,990.50
  4. Step 4: Simplify right side
    2,707x = 8,943,090.25
  5. Step 5: Solve for x
    x = 8,943,090.25/2,707
  6. Step 6: Final answer
    x = 3,303.69

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.