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Finding the Third Proportional to 22,862.25 and 49,740.75

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Solution

The third proportional to 22,862.25 and 49,740.75 is: 108,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.25 : 49,740.75 = 49,740.75 : x
  2. Step 2: Convert to fraction form
    22,862.25/49,740.75 = 49,740.75/x
  3. Step 3: Cross multiply
    22,862.25x = 49,740.75 × 49,740.75
  4. Step 4: Simplify right side
    22,862.25x = 2,474,142,210.56
  5. Step 5: Solve for x
    x = 2,474,142,210.56/22,862.25
  6. Step 6: Final answer
    x = 108,219.54

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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.