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Finding the Third Proportional to 12,042.42 and 19,178.65

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Solution

The third proportional to 12,042.42 and 19,178.65 is: 30,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.42 : 19,178.65 = 19,178.65 : x
  2. Step 2: Convert to fraction form
    12,042.42/19,178.65 = 19,178.65/x
  3. Step 3: Cross multiply
    12,042.42x = 19,178.65 × 19,178.65
  4. Step 4: Simplify right side
    12,042.42x = 367,820,555.89
  5. Step 5: Solve for x
    x = 367,820,555.89/12,042.42
  6. Step 6: Final answer
    x = 30,543.74

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.