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Finding the Third Proportional to 4,741.03 and 9,788.34

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Solution

The third proportional to 4,741.03 and 9,788.34 is: 20,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.03 : 9,788.34 = 9,788.34 : x
  2. Step 2: Convert to fraction form
    4,741.03/9,788.34 = 9,788.34/x
  3. Step 3: Cross multiply
    4,741.03x = 9,788.34 × 9,788.34
  4. Step 4: Simplify right side
    4,741.03x = 95,811,673.37
  5. Step 5: Solve for x
    x = 95,811,673.37/4,741.03
  6. Step 6: Final answer
    x = 20,209.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.