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Finding the Third Proportional to 52,427.25 and 74,980.69

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Solution

The third proportional to 52,427.25 and 74,980.69 is: 107,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,427.25 : 74,980.69 = 74,980.69 : x
  2. Step 2: Convert to fraction form
    52,427.25/74,980.69 = 74,980.69/x
  3. Step 3: Cross multiply
    52,427.25x = 74,980.69 × 74,980.69
  4. Step 4: Simplify right side
    52,427.25x = 5,622,103,497.97
  5. Step 5: Solve for x
    x = 5,622,103,497.97/52,427.25
  6. Step 6: Final answer
    x = 107,236.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.