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Finding the Third Proportional to 3,871.55 and 9,819.35

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Solution

The third proportional to 3,871.55 and 9,819.35 is: 24,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.55 : 9,819.35 = 9,819.35 : x
  2. Step 2: Convert to fraction form
    3,871.55/9,819.35 = 9,819.35/x
  3. Step 3: Cross multiply
    3,871.55x = 9,819.35 × 9,819.35
  4. Step 4: Simplify right side
    3,871.55x = 96,419,665.11
  5. Step 5: Solve for x
    x = 96,419,665.11/3,871.55
  6. Step 6: Final answer
    x = 24,904.69

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These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.