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Finding the Third Proportional to 22,619.25 and 48,353.25

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Solution

The third proportional to 22,619.25 and 48,353.25 is: 103,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,619.25 : 48,353.25 = 48,353.25 : x
  2. Step 2: Convert to fraction form
    22,619.25/48,353.25 = 48,353.25/x
  3. Step 3: Cross multiply
    22,619.25x = 48,353.25 × 48,353.25
  4. Step 4: Simplify right side
    22,619.25x = 2,338,036,785.56
  5. Step 5: Solve for x
    x = 2,338,036,785.56/22,619.25
  6. Step 6: Final answer
    x = 103,364.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.