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Finding the Third Proportional to 39,029 and 83,975

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Solution

The third proportional to 39,029 and 83,975 is: 180,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,029 : 83,975 = 83,975 : x
  2. Step 2: Convert to fraction form
    39,029/83,975 = 83,975/x
  3. Step 3: Cross multiply
    39,029x = 83,975 × 83,975
  4. Step 4: Simplify right side
    39,029x = 7,051,800,625
  5. Step 5: Solve for x
    x = 7,051,800,625/39,029
  6. Step 6: Final answer
    x = 180,681.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.