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Finding the Third Proportional to 10,563.56 and 22,626.75

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Solution

The third proportional to 10,563.56 and 22,626.75 is: 48,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.56 : 22,626.75 = 22,626.75 : x
  2. Step 2: Convert to fraction form
    10,563.56/22,626.75 = 22,626.75/x
  3. Step 3: Cross multiply
    10,563.56x = 22,626.75 × 22,626.75
  4. Step 4: Simplify right side
    10,563.56x = 511,969,815.56
  5. Step 5: Solve for x
    x = 511,969,815.56/10,563.56
  6. Step 6: Final answer
    x = 48,465.64

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Why These Related Problems?

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