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Finding the Third Proportional to 4,337.30 and 6,336.98

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Solution

The third proportional to 4,337.30 and 6,336.98 is: 9,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.30 : 6,336.98 = 6,336.98 : x
  2. Step 2: Convert to fraction form
    4,337.30/6,336.98 = 6,336.98/x
  3. Step 3: Cross multiply
    4,337.30x = 6,336.98 × 6,336.98
  4. Step 4: Simplify right side
    4,337.30x = 40,157,370.97
  5. Step 5: Solve for x
    x = 40,157,370.97/4,337.30
  6. Step 6: Final answer
    x = 9,258.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.