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Finding the Third Proportional to 1,894 and 3,919.50

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Solution

The third proportional to 1,894 and 3,919.50 is: 8,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894 : 3,919.50 = 3,919.50 : x
  2. Step 2: Convert to fraction form
    1,894/3,919.50 = 3,919.50/x
  3. Step 3: Cross multiply
    1,894x = 3,919.50 × 3,919.50
  4. Step 4: Simplify right side
    1,894x = 15,362,480.25
  5. Step 5: Solve for x
    x = 15,362,480.25/1,894
  6. Step 6: Final answer
    x = 8,111.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.