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Finding the Third Proportional to 12,023.44 and 29,215.69

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Solution

The third proportional to 12,023.44 and 29,215.69 is: 70,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.44 : 29,215.69 = 29,215.69 : x
  2. Step 2: Convert to fraction form
    12,023.44/29,215.69 = 29,215.69/x
  3. Step 3: Cross multiply
    12,023.44x = 29,215.69 × 29,215.69
  4. Step 4: Simplify right side
    12,023.44x = 853,556,396.10
  5. Step 5: Solve for x
    x = 853,556,396.10/12,023.44
  6. Step 6: Final answer
    x = 70,991.05

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.