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Finding the Third Proportional to 23,034 and 48,154

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Solution

The third proportional to 23,034 and 48,154 is: 100,668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034 : 48,154 = 48,154 : x
  2. Step 2: Convert to fraction form
    23,034/48,154 = 48,154/x
  3. Step 3: Cross multiply
    23,034x = 48,154 × 48,154
  4. Step 4: Simplify right side
    23,034x = 2,318,807,716
  5. Step 5: Solve for x
    x = 2,318,807,716/23,034
  6. Step 6: Final answer
    x = 100,668.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.