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Finding the Third Proportional to 24,912 and 58,212

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Solution

The third proportional to 24,912 and 58,212 is: 136,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912 : 58,212 = 58,212 : x
  2. Step 2: Convert to fraction form
    24,912/58,212 = 58,212/x
  3. Step 3: Cross multiply
    24,912x = 58,212 × 58,212
  4. Step 4: Simplify right side
    24,912x = 3,388,636,944
  5. Step 5: Solve for x
    x = 3,388,636,944/24,912
  6. Step 6: Final answer
    x = 136,024.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.