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Finding the Third Proportional to 23,457 and 50,829

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Solution

The third proportional to 23,457 and 50,829 is: 110,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457 : 50,829 = 50,829 : x
  2. Step 2: Convert to fraction form
    23,457/50,829 = 50,829/x
  3. Step 3: Cross multiply
    23,457x = 50,829 × 50,829
  4. Step 4: Simplify right side
    23,457x = 2,583,587,241
  5. Step 5: Solve for x
    x = 2,583,587,241/23,457
  6. Step 6: Final answer
    x = 110,141.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.