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Finding the Third Proportional to 39,083 and 79,548

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Solution

The third proportional to 39,083 and 79,548 is: 161,908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,083 : 79,548 = 79,548 : x
  2. Step 2: Convert to fraction form
    39,083/79,548 = 79,548/x
  3. Step 3: Cross multiply
    39,083x = 79,548 × 79,548
  4. Step 4: Simplify right side
    39,083x = 6,327,884,304
  5. Step 5: Solve for x
    x = 6,327,884,304/39,083
  6. Step 6: Final answer
    x = 161,908.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.