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Finding the Third Proportional to 9,343.50 and 14,049.75

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Solution

The third proportional to 9,343.50 and 14,049.75 is: 21,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.50 : 14,049.75 = 14,049.75 : x
  2. Step 2: Convert to fraction form
    9,343.50/14,049.75 = 14,049.75/x
  3. Step 3: Cross multiply
    9,343.50x = 14,049.75 × 14,049.75
  4. Step 4: Simplify right side
    9,343.50x = 197,395,475.06
  5. Step 5: Solve for x
    x = 197,395,475.06/9,343.50
  6. Step 6: Final answer
    x = 21,126.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.