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Finding the Third Proportional to 23,506 and 48,956

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Solution

The third proportional to 23,506 and 48,956 is: 101,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506 : 48,956 = 48,956 : x
  2. Step 2: Convert to fraction form
    23,506/48,956 = 48,956/x
  3. Step 3: Cross multiply
    23,506x = 48,956 × 48,956
  4. Step 4: Simplify right side
    23,506x = 2,396,689,936
  5. Step 5: Solve for x
    x = 2,396,689,936/23,506
  6. Step 6: Final answer
    x = 101,960.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.