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Finding the Third Proportional to 39,993 and 57,153

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Solution

The third proportional to 39,993 and 57,153 is: 81,675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,993 : 57,153 = 57,153 : x
  2. Step 2: Convert to fraction form
    39,993/57,153 = 57,153/x
  3. Step 3: Cross multiply
    39,993x = 57,153 × 57,153
  4. Step 4: Simplify right side
    39,993x = 3,266,465,409
  5. Step 5: Solve for x
    x = 3,266,465,409/39,993
  6. Step 6: Final answer
    x = 81,675.93

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Why These Related Problems?

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