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Finding the Third Proportional to 2,047 and 3,043

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Solution

The third proportional to 2,047 and 3,043 is: 4,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047 : 3,043 = 3,043 : x
  2. Step 2: Convert to fraction form
    2,047/3,043 = 3,043/x
  3. Step 3: Cross multiply
    2,047x = 3,043 × 3,043
  4. Step 4: Simplify right side
    2,047x = 9,259,849
  5. Step 5: Solve for x
    x = 9,259,849/2,047
  6. Step 6: Final answer
    x = 4,523.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.