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Finding the Third Proportional to 12,619.69 and 18,684.56

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Solution

The third proportional to 12,619.69 and 18,684.56 is: 27,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,619.69 : 18,684.56 = 18,684.56 : x
  2. Step 2: Convert to fraction form
    12,619.69/18,684.56 = 18,684.56/x
  3. Step 3: Cross multiply
    12,619.69x = 18,684.56 × 18,684.56
  4. Step 4: Simplify right side
    12,619.69x = 349,112,875.82
  5. Step 5: Solve for x
    x = 349,112,875.82/12,619.69
  6. Step 6: Final answer
    x = 27,664.15

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.