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Finding the Third Proportional to 13,068.56 and 19,724.34

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Solution

The third proportional to 13,068.56 and 19,724.34 is: 29,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,068.56 : 19,724.34 = 19,724.34 : x
  2. Step 2: Convert to fraction form
    13,068.56/19,724.34 = 19,724.34/x
  3. Step 3: Cross multiply
    13,068.56x = 19,724.34 × 19,724.34
  4. Step 4: Simplify right side
    13,068.56x = 389,049,736.37
  5. Step 5: Solve for x
    x = 389,049,736.37/13,068.56
  6. Step 6: Final answer
    x = 29,769.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.