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Finding the Third Proportional to 6,494.63 and 13,762.13

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Solution

The third proportional to 6,494.63 and 13,762.13 is: 29,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.63 : 13,762.13 = 13,762.13 : x
  2. Step 2: Convert to fraction form
    6,494.63/13,762.13 = 13,762.13/x
  3. Step 3: Cross multiply
    6,494.63x = 13,762.13 × 13,762.13
  4. Step 4: Simplify right side
    6,494.63x = 189,396,084.52
  5. Step 5: Solve for x
    x = 189,396,084.52/6,494.63
  6. Step 6: Final answer
    x = 29,161.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.