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Finding the Third Proportional to 2,043.56 and 2,492.44

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Solution

The third proportional to 2,043.56 and 2,492.44 is: 3,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.56 : 2,492.44 = 2,492.44 : x
  2. Step 2: Convert to fraction form
    2,043.56/2,492.44 = 2,492.44/x
  3. Step 3: Cross multiply
    2,043.56x = 2,492.44 × 2,492.44
  4. Step 4: Simplify right side
    2,043.56x = 6,212,244.69
  5. Step 5: Solve for x
    x = 6,212,244.69/2,043.56
  6. Step 6: Final answer
    x = 3,039.91

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.