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Finding the Third Proportional to 24,838 and 58,582

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Solution

The third proportional to 24,838 and 58,582 is: 138,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838 : 58,582 = 58,582 : x
  2. Step 2: Convert to fraction form
    24,838/58,582 = 58,582/x
  3. Step 3: Cross multiply
    24,838x = 58,582 × 58,582
  4. Step 4: Simplify right side
    24,838x = 3,431,850,724
  5. Step 5: Solve for x
    x = 3,431,850,724/24,838
  6. Step 6: Final answer
    x = 138,169.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.