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Finding the Third Proportional to 10,633.88 and 21,699.75

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Solution

The third proportional to 10,633.88 and 21,699.75 is: 44,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.88 : 21,699.75 = 21,699.75 : x
  2. Step 2: Convert to fraction form
    10,633.88/21,699.75 = 21,699.75/x
  3. Step 3: Cross multiply
    10,633.88x = 21,699.75 × 21,699.75
  4. Step 4: Simplify right side
    10,633.88x = 470,879,150.06
  5. Step 5: Solve for x
    x = 470,879,150.06/10,633.88
  6. Step 6: Final answer
    x = 44,281.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.