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Finding the Third Proportional to 9,223.56 and 13,012.37

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Solution

The third proportional to 9,223.56 and 13,012.37 is: 18,357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.56 : 13,012.37 = 13,012.37 : x
  2. Step 2: Convert to fraction form
    9,223.56/13,012.37 = 13,012.37/x
  3. Step 3: Cross multiply
    9,223.56x = 13,012.37 × 13,012.37
  4. Step 4: Simplify right side
    9,223.56x = 169,321,648.99
  5. Step 5: Solve for x
    x = 169,321,648.99/9,223.56
  6. Step 6: Final answer
    x = 18,357.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.