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Finding the Third Proportional to 12,309.19 and 19,096.03

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Solution

The third proportional to 12,309.19 and 19,096.03 is: 29,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.19 : 19,096.03 = 19,096.03 : x
  2. Step 2: Convert to fraction form
    12,309.19/19,096.03 = 19,096.03/x
  3. Step 3: Cross multiply
    12,309.19x = 19,096.03 × 19,096.03
  4. Step 4: Simplify right side
    12,309.19x = 364,658,409.50
  5. Step 5: Solve for x
    x = 364,658,409.50/12,309.19
  6. Step 6: Final answer
    x = 29,624.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.