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Finding the Third Proportional to 2,025.84 and 2,890.27

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Solution

The third proportional to 2,025.84 and 2,890.27 is: 4,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.84 : 2,890.27 = 2,890.27 : x
  2. Step 2: Convert to fraction form
    2,025.84/2,890.27 = 2,890.27/x
  3. Step 3: Cross multiply
    2,025.84x = 2,890.27 × 2,890.27
  4. Step 4: Simplify right side
    2,025.84x = 8,353,635.38
  5. Step 5: Solve for x
    x = 8,353,635.38/2,025.84
  6. Step 6: Final answer
    x = 4,123.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.