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Finding the Third Proportional to 9,374.48 and 11,223.56

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Solution

The third proportional to 9,374.48 and 11,223.56 is: 13,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.48 : 11,223.56 = 11,223.56 : x
  2. Step 2: Convert to fraction form
    9,374.48/11,223.56 = 11,223.56/x
  3. Step 3: Cross multiply
    9,374.48x = 11,223.56 × 11,223.56
  4. Step 4: Simplify right side
    9,374.48x = 125,968,355.19
  5. Step 5: Solve for x
    x = 125,968,355.19/9,374.48
  6. Step 6: Final answer
    x = 13,437.36

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.