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Finding the Third Proportional to 12,011.63 and 19,188.56

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Solution

The third proportional to 12,011.63 and 19,188.56 is: 30,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.63 : 19,188.56 = 19,188.56 : x
  2. Step 2: Convert to fraction form
    12,011.63/19,188.56 = 19,188.56/x
  3. Step 3: Cross multiply
    12,011.63x = 19,188.56 × 19,188.56
  4. Step 4: Simplify right side
    12,011.63x = 368,200,930.82
  5. Step 5: Solve for x
    x = 368,200,930.82/12,011.63
  6. Step 6: Final answer
    x = 30,653.72

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.