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Finding the Third Proportional to 1,609.03 and 3,783.80

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Solution

The third proportional to 1,609.03 and 3,783.80 is: 8,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.03 : 3,783.80 = 3,783.80 : x
  2. Step 2: Convert to fraction form
    1,609.03/3,783.80 = 3,783.80/x
  3. Step 3: Cross multiply
    1,609.03x = 3,783.80 × 3,783.80
  4. Step 4: Simplify right side
    1,609.03x = 14,317,118.79
  5. Step 5: Solve for x
    x = 14,317,118.79/1,609.03
  6. Step 6: Final answer
    x = 8,897.97

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.