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Finding the Third Proportional to 53,463.75 and 74,745.38

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Solution

The third proportional to 53,463.75 and 74,745.38 is: 104,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,463.75 : 74,745.38 = 74,745.38 : x
  2. Step 2: Convert to fraction form
    53,463.75/74,745.38 = 74,745.38/x
  3. Step 3: Cross multiply
    53,463.75x = 74,745.38 × 74,745.38
  4. Step 4: Simplify right side
    53,463.75x = 5,586,871,083.89
  5. Step 5: Solve for x
    x = 5,586,871,083.89/53,463.75
  6. Step 6: Final answer
    x = 104,498.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.