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Finding the Third Proportional to 9,228.09 and 13,850.58

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Solution

The third proportional to 9,228.09 and 13,850.58 is: 20,788.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.09 : 13,850.58 = 13,850.58 : x
  2. Step 2: Convert to fraction form
    9,228.09/13,850.58 = 13,850.58/x
  3. Step 3: Cross multiply
    9,228.09x = 13,850.58 × 13,850.58
  4. Step 4: Simplify right side
    9,228.09x = 191,838,514.40
  5. Step 5: Solve for x
    x = 191,838,514.40/9,228.09
  6. Step 6: Final answer
    x = 20,788.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.