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Finding the Third Proportional to 3,819.23 and 5,688.14

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Solution

The third proportional to 3,819.23 and 5,688.14 is: 8,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.23 : 5,688.14 = 5,688.14 : x
  2. Step 2: Convert to fraction form
    3,819.23/5,688.14 = 5,688.14/x
  3. Step 3: Cross multiply
    3,819.23x = 5,688.14 × 5,688.14
  4. Step 4: Simplify right side
    3,819.23x = 32,354,943.77
  5. Step 5: Solve for x
    x = 32,354,943.77/3,819.23
  6. Step 6: Final answer
    x = 8,471.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.