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Finding the Third Proportional to 9,327.66 and 13,549.78

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Solution

The third proportional to 9,327.66 and 13,549.78 is: 19,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.66 : 13,549.78 = 13,549.78 : x
  2. Step 2: Convert to fraction form
    9,327.66/13,549.78 = 13,549.78/x
  3. Step 3: Cross multiply
    9,327.66x = 13,549.78 × 13,549.78
  4. Step 4: Simplify right side
    9,327.66x = 183,596,571.92
  5. Step 5: Solve for x
    x = 183,596,571.92/9,327.66
  6. Step 6: Final answer
    x = 19,683.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.