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Finding the Third Proportional to 1,954.44 and 3,609.88

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Solution

The third proportional to 1,954.44 and 3,609.88 is: 6,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.44 : 3,609.88 = 3,609.88 : x
  2. Step 2: Convert to fraction form
    1,954.44/3,609.88 = 3,609.88/x
  3. Step 3: Cross multiply
    1,954.44x = 3,609.88 × 3,609.88
  4. Step 4: Simplify right side
    1,954.44x = 13,031,225.72
  5. Step 5: Solve for x
    x = 13,031,225.72/1,954.44
  6. Step 6: Final answer
    x = 6,667.49

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.