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Finding the Third Proportional to 1,884 and 2,713.50

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Solution

The third proportional to 1,884 and 2,713.50 is: 3,908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884 : 2,713.50 = 2,713.50 : x
  2. Step 2: Convert to fraction form
    1,884/2,713.50 = 2,713.50/x
  3. Step 3: Cross multiply
    1,884x = 2,713.50 × 2,713.50
  4. Step 4: Simplify right side
    1,884x = 7,363,082.25
  5. Step 5: Solve for x
    x = 7,363,082.25/1,884
  6. Step 6: Final answer
    x = 3,908.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.