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Finding the Third Proportional to 9,123 and 13,359.50

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Solution

The third proportional to 9,123 and 13,359.50 is: 19,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123 : 13,359.50 = 13,359.50 : x
  2. Step 2: Convert to fraction form
    9,123/13,359.50 = 13,359.50/x
  3. Step 3: Cross multiply
    9,123x = 13,359.50 × 13,359.50
  4. Step 4: Simplify right side
    9,123x = 178,476,240.25
  5. Step 5: Solve for x
    x = 178,476,240.25/9,123
  6. Step 6: Final answer
    x = 19,563.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.