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Finding the Third Proportional to 39,338 and 84,958

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Solution

The third proportional to 39,338 and 84,958 is: 183,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,338 : 84,958 = 84,958 : x
  2. Step 2: Convert to fraction form
    39,338/84,958 = 84,958/x
  3. Step 3: Cross multiply
    39,338x = 84,958 × 84,958
  4. Step 4: Simplify right side
    39,338x = 7,217,861,764
  5. Step 5: Solve for x
    x = 7,217,861,764/39,338
  6. Step 6: Final answer
    x = 183,483.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.