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Finding the Third Proportional to 6,447.13 and 8,698.63

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Solution

The third proportional to 6,447.13 and 8,698.63 is: 11,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.13 : 8,698.63 = 8,698.63 : x
  2. Step 2: Convert to fraction form
    6,447.13/8,698.63 = 8,698.63/x
  3. Step 3: Cross multiply
    6,447.13x = 8,698.63 × 8,698.63
  4. Step 4: Simplify right side
    6,447.13x = 75,666,076.89
  5. Step 5: Solve for x
    x = 75,666,076.89/6,447.13
  6. Step 6: Final answer
    x = 11,736.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.