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Finding the Third Proportional to 24,603 and 50,957

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Solution

The third proportional to 24,603 and 50,957 is: 105,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,603 : 50,957 = 50,957 : x
  2. Step 2: Convert to fraction form
    24,603/50,957 = 50,957/x
  3. Step 3: Cross multiply
    24,603x = 50,957 × 50,957
  4. Step 4: Simplify right side
    24,603x = 2,596,615,849
  5. Step 5: Solve for x
    x = 2,596,615,849/24,603
  6. Step 6: Final answer
    x = 105,540.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.