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Finding the Third Proportional to 47,594.25 and 105,825.38

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Solution

The third proportional to 47,594.25 and 105,825.38 is: 235,301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,594.25 : 105,825.38 = 105,825.38 : x
  2. Step 2: Convert to fraction form
    47,594.25/105,825.38 = 105,825.38/x
  3. Step 3: Cross multiply
    47,594.25x = 105,825.38 × 105,825.38
  4. Step 4: Simplify right side
    47,594.25x = 11,199,009,993.89
  5. Step 5: Solve for x
    x = 11,199,009,993.89/47,594.25
  6. Step 6: Final answer
    x = 235,301.74

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.