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Finding the Third Proportional to 24,852 and 58,062

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Solution

The third proportional to 24,852 and 58,062 is: 135,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852 : 58,062 = 58,062 : x
  2. Step 2: Convert to fraction form
    24,852/58,062 = 58,062/x
  3. Step 3: Cross multiply
    24,852x = 58,062 × 58,062
  4. Step 4: Simplify right side
    24,852x = 3,371,195,844
  5. Step 5: Solve for x
    x = 3,371,195,844/24,852
  6. Step 6: Final answer
    x = 135,650.89

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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.