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Finding the Third Proportional to 12,619.97 and 19,798.17

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Solution

The third proportional to 12,619.97 and 19,798.17 is: 31,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,619.97 : 19,798.17 = 19,798.17 : x
  2. Step 2: Convert to fraction form
    12,619.97/19,798.17 = 19,798.17/x
  3. Step 3: Cross multiply
    12,619.97x = 19,798.17 × 19,798.17
  4. Step 4: Simplify right side
    12,619.97x = 391,967,609.59
  5. Step 5: Solve for x
    x = 391,967,609.59/12,619.97
  6. Step 6: Final answer
    x = 31,059.32

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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.