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Finding the Third Proportional to 24,564 and 50,158

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Solution

The third proportional to 24,564 and 50,158 is: 102,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564 : 50,158 = 50,158 : x
  2. Step 2: Convert to fraction form
    24,564/50,158 = 50,158/x
  3. Step 3: Cross multiply
    24,564x = 50,158 × 50,158
  4. Step 4: Simplify right side
    24,564x = 2,515,824,964
  5. Step 5: Solve for x
    x = 2,515,824,964/24,564
  6. Step 6: Final answer
    x = 102,419.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.