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Finding the Third Proportional to 12,894.19 and 19,313.44

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Solution

The third proportional to 12,894.19 and 19,313.44 is: 28,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.19 : 19,313.44 = 19,313.44 : x
  2. Step 2: Convert to fraction form
    12,894.19/19,313.44 = 19,313.44/x
  3. Step 3: Cross multiply
    12,894.19x = 19,313.44 × 19,313.44
  4. Step 4: Simplify right side
    12,894.19x = 373,008,868.07
  5. Step 5: Solve for x
    x = 373,008,868.07/12,894.19
  6. Step 6: Final answer
    x = 28,928.45

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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.