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Finding the Third Proportional to 3,423.83 and 5,349.32

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Solution

The third proportional to 3,423.83 and 5,349.32 is: 8,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.83 : 5,349.32 = 5,349.32 : x
  2. Step 2: Convert to fraction form
    3,423.83/5,349.32 = 5,349.32/x
  3. Step 3: Cross multiply
    3,423.83x = 5,349.32 × 5,349.32
  4. Step 4: Simplify right side
    3,423.83x = 28,615,248.70
  5. Step 5: Solve for x
    x = 28,615,248.70/3,423.83
  6. Step 6: Final answer
    x = 8,357.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.