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Finding the Third Proportional to 9,453 and 14,453.25

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Solution

The third proportional to 9,453 and 14,453.25 is: 22,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453 : 14,453.25 = 14,453.25 : x
  2. Step 2: Convert to fraction form
    9,453/14,453.25 = 14,453.25/x
  3. Step 3: Cross multiply
    9,453x = 14,453.25 × 14,453.25
  4. Step 4: Simplify right side
    9,453x = 208,896,435.56
  5. Step 5: Solve for x
    x = 208,896,435.56/9,453
  6. Step 6: Final answer
    x = 22,098.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.