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Finding the Third Proportional to 1,894 and 4,057

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Solution

The third proportional to 1,894 and 4,057 is: 8,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894 : 4,057 = 4,057 : x
  2. Step 2: Convert to fraction form
    1,894/4,057 = 4,057/x
  3. Step 3: Cross multiply
    1,894x = 4,057 × 4,057
  4. Step 4: Simplify right side
    1,894x = 16,459,249
  5. Step 5: Solve for x
    x = 16,459,249/1,894
  6. Step 6: Final answer
    x = 8,690.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.