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Finding the Third Proportional to 5,364.56 and 10,724.06

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Solution

The third proportional to 5,364.56 and 10,724.06 is: 21,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.56 : 10,724.06 = 10,724.06 : x
  2. Step 2: Convert to fraction form
    5,364.56/10,724.06 = 10,724.06/x
  3. Step 3: Cross multiply
    5,364.56x = 10,724.06 × 10,724.06
  4. Step 4: Simplify right side
    5,364.56x = 115,005,516.50
  5. Step 5: Solve for x
    x = 115,005,516.50/5,364.56
  6. Step 6: Final answer
    x = 21,438.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.