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Finding the Third Proportional to 6,440.94 and 10,245.84

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Solution

The third proportional to 6,440.94 and 10,245.84 is: 16,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.94 : 10,245.84 = 10,245.84 : x
  2. Step 2: Convert to fraction form
    6,440.94/10,245.84 = 10,245.84/x
  3. Step 3: Cross multiply
    6,440.94x = 10,245.84 × 10,245.84
  4. Step 4: Simplify right side
    6,440.94x = 104,977,314.15
  5. Step 5: Solve for x
    x = 104,977,314.15/6,440.94
  6. Step 6: Final answer
    x = 16,298.45

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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.