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Finding the Third Proportional to 19,429.88 and 41,623.88

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Solution

The third proportional to 19,429.88 and 41,623.88 is: 89,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,429.88 : 41,623.88 = 41,623.88 : x
  2. Step 2: Convert to fraction form
    19,429.88/41,623.88 = 41,623.88/x
  3. Step 3: Cross multiply
    19,429.88x = 41,623.88 × 41,623.88
  4. Step 4: Simplify right side
    19,429.88x = 1,732,546,970.02
  5. Step 5: Solve for x
    x = 1,732,546,970.02/19,429.88
  6. Step 6: Final answer
    x = 89,169.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.