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Finding the Third Proportional to 1,419.50 and 2,983

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Solution

The third proportional to 1,419.50 and 2,983 is: 6,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.50 : 2,983 = 2,983 : x
  2. Step 2: Convert to fraction form
    1,419.50/2,983 = 2,983/x
  3. Step 3: Cross multiply
    1,419.50x = 2,983 × 2,983
  4. Step 4: Simplify right side
    1,419.50x = 8,898,289
  5. Step 5: Solve for x
    x = 8,898,289/1,419.50
  6. Step 6: Final answer
    x = 6,268.61

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Why These Related Problems?

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