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Finding the Third Proportional to 1,994.63 and 3,137.25

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Solution

The third proportional to 1,994.63 and 3,137.25 is: 4,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.63 : 3,137.25 = 3,137.25 : x
  2. Step 2: Convert to fraction form
    1,994.63/3,137.25 = 3,137.25/x
  3. Step 3: Cross multiply
    1,994.63x = 3,137.25 × 3,137.25
  4. Step 4: Simplify right side
    1,994.63x = 9,842,337.56
  5. Step 5: Solve for x
    x = 9,842,337.56/1,994.63
  6. Step 6: Final answer
    x = 4,934.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.