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Finding the Third Proportional to 39,328 and 84,914

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Solution

The third proportional to 39,328 and 84,914 is: 183,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,328 : 84,914 = 84,914 : x
  2. Step 2: Convert to fraction form
    39,328/84,914 = 84,914/x
  3. Step 3: Cross multiply
    39,328x = 84,914 × 84,914
  4. Step 4: Simplify right side
    39,328x = 7,210,387,396
  5. Step 5: Solve for x
    x = 7,210,387,396/39,328
  6. Step 6: Final answer
    x = 183,339.79

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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.