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Finding the Third Proportional to 9,844.50 and 18,253.50

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Solution

The third proportional to 9,844.50 and 18,253.50 is: 33,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.50 : 18,253.50 = 18,253.50 : x
  2. Step 2: Convert to fraction form
    9,844.50/18,253.50 = 18,253.50/x
  3. Step 3: Cross multiply
    9,844.50x = 18,253.50 × 18,253.50
  4. Step 4: Simplify right side
    9,844.50x = 333,190,262.25
  5. Step 5: Solve for x
    x = 333,190,262.25/9,844.50
  6. Step 6: Final answer
    x = 33,845.32

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.