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Finding the Third Proportional to 19,824.75 and 28,643.06

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Solution

The third proportional to 19,824.75 and 28,643.06 is: 41,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.75 : 28,643.06 = 28,643.06 : x
  2. Step 2: Convert to fraction form
    19,824.75/28,643.06 = 28,643.06/x
  3. Step 3: Cross multiply
    19,824.75x = 28,643.06 × 28,643.06
  4. Step 4: Simplify right side
    19,824.75x = 820,425,029.38
  5. Step 5: Solve for x
    x = 820,425,029.38/19,824.75
  6. Step 6: Final answer
    x = 41,383.88

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.