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Finding the Third Proportional to 2,043 and 3,056.63

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Solution

The third proportional to 2,043 and 3,056.63 is: 4,573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043 : 3,056.63 = 3,056.63 : x
  2. Step 2: Convert to fraction form
    2,043/3,056.63 = 3,056.63/x
  3. Step 3: Cross multiply
    2,043x = 3,056.63 × 3,056.63
  4. Step 4: Simplify right side
    2,043x = 9,342,956.39
  5. Step 5: Solve for x
    x = 9,342,956.39/2,043
  6. Step 6: Final answer
    x = 4,573.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.