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Finding the Third Proportional to 5,539.63 and 8,313.44

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Solution

The third proportional to 5,539.63 and 8,313.44 is: 12,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.63 : 8,313.44 = 8,313.44 : x
  2. Step 2: Convert to fraction form
    5,539.63/8,313.44 = 8,313.44/x
  3. Step 3: Cross multiply
    5,539.63x = 8,313.44 × 8,313.44
  4. Step 4: Simplify right side
    5,539.63x = 69,113,243.07
  5. Step 5: Solve for x
    x = 69,113,243.07/5,539.63
  6. Step 6: Final answer
    x = 12,476.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.