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Finding the Third Proportional to 24,212 and 37,022

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Solution

The third proportional to 24,212 and 37,022 is: 56,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212 : 37,022 = 37,022 : x
  2. Step 2: Convert to fraction form
    24,212/37,022 = 37,022/x
  3. Step 3: Cross multiply
    24,212x = 37,022 × 37,022
  4. Step 4: Simplify right side
    24,212x = 1,370,628,484
  5. Step 5: Solve for x
    x = 1,370,628,484/24,212
  6. Step 6: Final answer
    x = 56,609.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.