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Finding the Third Proportional to 39,458 and 84,772

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Solution

The third proportional to 39,458 and 84,772 is: 182,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,458 : 84,772 = 84,772 : x
  2. Step 2: Convert to fraction form
    39,458/84,772 = 84,772/x
  3. Step 3: Cross multiply
    39,458x = 84,772 × 84,772
  4. Step 4: Simplify right side
    39,458x = 7,186,291,984
  5. Step 5: Solve for x
    x = 7,186,291,984/39,458
  6. Step 6: Final answer
    x = 182,125.09

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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.