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Finding the Third Proportional to 6,480.63 and 13,882.63

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Solution

The third proportional to 6,480.63 and 13,882.63 is: 29,739.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.63 : 13,882.63 = 13,882.63 : x
  2. Step 2: Convert to fraction form
    6,480.63/13,882.63 = 13,882.63/x
  3. Step 3: Cross multiply
    6,480.63x = 13,882.63 × 13,882.63
  4. Step 4: Simplify right side
    6,480.63x = 192,727,276.89
  5. Step 5: Solve for x
    x = 192,727,276.89/6,480.63
  6. Step 6: Final answer
    x = 29,739.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.