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Finding the Third Proportional to 12,096.56 and 19,008.84

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Solution

The third proportional to 12,096.56 and 19,008.84 is: 29,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.56 : 19,008.84 = 19,008.84 : x
  2. Step 2: Convert to fraction form
    12,096.56/19,008.84 = 19,008.84/x
  3. Step 3: Cross multiply
    12,096.56x = 19,008.84 × 19,008.84
  4. Step 4: Simplify right side
    12,096.56x = 361,336,140.71
  5. Step 5: Solve for x
    x = 361,336,140.71/12,096.56
  6. Step 6: Final answer
    x = 29,870.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.