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Finding the Third Proportional to 10,504.69 and 23,181.19

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Solution

The third proportional to 10,504.69 and 23,181.19 is: 51,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.69 : 23,181.19 = 23,181.19 : x
  2. Step 2: Convert to fraction form
    10,504.69/23,181.19 = 23,181.19/x
  3. Step 3: Cross multiply
    10,504.69x = 23,181.19 × 23,181.19
  4. Step 4: Simplify right side
    10,504.69x = 537,367,453.91
  5. Step 5: Solve for x
    x = 537,367,453.91/10,504.69
  6. Step 6: Final answer
    x = 51,155.02

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.