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Finding the Third Proportional to 9,238.22 and 14,268.66

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Solution

The third proportional to 9,238.22 and 14,268.66 is: 22,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.22 : 14,268.66 = 14,268.66 : x
  2. Step 2: Convert to fraction form
    9,238.22/14,268.66 = 14,268.66/x
  3. Step 3: Cross multiply
    9,238.22x = 14,268.66 × 14,268.66
  4. Step 4: Simplify right side
    9,238.22x = 203,594,551.18
  5. Step 5: Solve for x
    x = 203,594,551.18/9,238.22
  6. Step 6: Final answer
    x = 22,038.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.