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Finding the Third Proportional to 11,353.50 and 18,762.75

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Solution

The third proportional to 11,353.50 and 18,762.75 is: 31,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.50 : 18,762.75 = 18,762.75 : x
  2. Step 2: Convert to fraction form
    11,353.50/18,762.75 = 18,762.75/x
  3. Step 3: Cross multiply
    11,353.50x = 18,762.75 × 18,762.75
  4. Step 4: Simplify right side
    11,353.50x = 352,040,787.56
  5. Step 5: Solve for x
    x = 352,040,787.56/11,353.50
  6. Step 6: Final answer
    x = 31,007.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.