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Finding the Third Proportional to 22,518 and 48,999.94

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Solution

The third proportional to 22,518 and 48,999.94 is: 106,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518 : 48,999.94 = 48,999.94 : x
  2. Step 2: Convert to fraction form
    22,518/48,999.94 = 48,999.94/x
  3. Step 3: Cross multiply
    22,518x = 48,999.94 × 48,999.94
  4. Step 4: Simplify right side
    22,518x = 2,400,993,875.00
  5. Step 5: Solve for x
    x = 2,400,993,875.00/22,518
  6. Step 6: Final answer
    x = 106,625.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.