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Finding the Third Proportional to 22,993.88 and 49,268.25

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Solution

The third proportional to 22,993.88 and 49,268.25 is: 105,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.88 : 49,268.25 = 49,268.25 : x
  2. Step 2: Convert to fraction form
    22,993.88/49,268.25 = 49,268.25/x
  3. Step 3: Cross multiply
    22,993.88x = 49,268.25 × 49,268.25
  4. Step 4: Simplify right side
    22,993.88x = 2,427,360,458.06
  5. Step 5: Solve for x
    x = 2,427,360,458.06/22,993.88
  6. Step 6: Final answer
    x = 105,565.52

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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.