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Finding the Third Proportional to 24,683 and 50,724

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Solution

The third proportional to 24,683 and 50,724 is: 104,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,683 : 50,724 = 50,724 : x
  2. Step 2: Convert to fraction form
    24,683/50,724 = 50,724/x
  3. Step 3: Cross multiply
    24,683x = 50,724 × 50,724
  4. Step 4: Simplify right side
    24,683x = 2,572,924,176
  5. Step 5: Solve for x
    x = 2,572,924,176/24,683
  6. Step 6: Final answer
    x = 104,238.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.