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Finding the Third Proportional to 24,178 and 50,804

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Solution

The third proportional to 24,178 and 50,804 is: 106,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178 : 50,804 = 50,804 : x
  2. Step 2: Convert to fraction form
    24,178/50,804 = 50,804/x
  3. Step 3: Cross multiply
    24,178x = 50,804 × 50,804
  4. Step 4: Simplify right side
    24,178x = 2,581,046,416
  5. Step 5: Solve for x
    x = 2,581,046,416/24,178
  6. Step 6: Final answer
    x = 106,751.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.