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Finding the Third Proportional to 34,629.19 and 74,783.25

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Solution

The third proportional to 34,629.19 and 74,783.25 is: 161,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,629.19 : 74,783.25 = 74,783.25 : x
  2. Step 2: Convert to fraction form
    34,629.19/74,783.25 = 74,783.25/x
  3. Step 3: Cross multiply
    34,629.19x = 74,783.25 × 74,783.25
  4. Step 4: Simplify right side
    34,629.19x = 5,592,534,480.56
  5. Step 5: Solve for x
    x = 5,592,534,480.56/34,629.19
  6. Step 6: Final answer
    x = 161,497.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.