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Finding the Third Proportional to 6,327.49 and 9,738.98

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Solution

The third proportional to 6,327.49 and 9,738.98 is: 14,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.49 : 9,738.98 = 9,738.98 : x
  2. Step 2: Convert to fraction form
    6,327.49/9,738.98 = 9,738.98/x
  3. Step 3: Cross multiply
    6,327.49x = 9,738.98 × 9,738.98
  4. Step 4: Simplify right side
    6,327.49x = 94,847,816.66
  5. Step 5: Solve for x
    x = 94,847,816.66/6,327.49
  6. Step 6: Final answer
    x = 14,989.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.