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Finding the Third Proportional to 22,895.57 and 48,815.33

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Solution

The third proportional to 22,895.57 and 48,815.33 is: 104,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,895.57 : 48,815.33 = 48,815.33 : x
  2. Step 2: Convert to fraction form
    22,895.57/48,815.33 = 48,815.33/x
  3. Step 3: Cross multiply
    22,895.57x = 48,815.33 × 48,815.33
  4. Step 4: Simplify right side
    22,895.57x = 2,382,936,259.95
  5. Step 5: Solve for x
    x = 2,382,936,259.95/22,895.57
  6. Step 6: Final answer
    x = 104,078.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.