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Finding the Third Proportional to 12,678.75 and 19,020.38

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Solution

The third proportional to 12,678.75 and 19,020.38 is: 28,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.75 : 19,020.38 = 19,020.38 : x
  2. Step 2: Convert to fraction form
    12,678.75/19,020.38 = 19,020.38/x
  3. Step 3: Cross multiply
    12,678.75x = 19,020.38 × 19,020.38
  4. Step 4: Simplify right side
    12,678.75x = 361,774,665.14
  5. Step 5: Solve for x
    x = 361,774,665.14/12,678.75
  6. Step 6: Final answer
    x = 28,533.94

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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.