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Finding the Third Proportional to 1,865 and 4,123

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Solution

The third proportional to 1,865 and 4,123 is: 9,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865 : 4,123 = 4,123 : x
  2. Step 2: Convert to fraction form
    1,865/4,123 = 4,123/x
  3. Step 3: Cross multiply
    1,865x = 4,123 × 4,123
  4. Step 4: Simplify right side
    1,865x = 16,999,129
  5. Step 5: Solve for x
    x = 16,999,129/1,865
  6. Step 6: Final answer
    x = 9,114.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.