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Finding the Third Proportional to 6,443.93 and 9,682.98

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Solution

The third proportional to 6,443.93 and 9,682.98 is: 14,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.93 : 9,682.98 = 9,682.98 : x
  2. Step 2: Convert to fraction form
    6,443.93/9,682.98 = 9,682.98/x
  3. Step 3: Cross multiply
    6,443.93x = 9,682.98 × 9,682.98
  4. Step 4: Simplify right side
    6,443.93x = 93,760,110.76
  5. Step 5: Solve for x
    x = 93,760,110.76/6,443.93
  6. Step 6: Final answer
    x = 14,550.14

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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.