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Finding the Third Proportional to 5,234.63 and 8,348.06

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Solution

The third proportional to 5,234.63 and 8,348.06 is: 13,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.63 : 8,348.06 = 8,348.06 : x
  2. Step 2: Convert to fraction form
    5,234.63/8,348.06 = 8,348.06/x
  3. Step 3: Cross multiply
    5,234.63x = 8,348.06 × 8,348.06
  4. Step 4: Simplify right side
    5,234.63x = 69,690,147.50
  5. Step 5: Solve for x
    x = 69,690,147.50/5,234.63
  6. Step 6: Final answer
    x = 13,313.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.