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Finding the Third Proportional to 39,456 and 84,768

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Solution

The third proportional to 39,456 and 84,768 is: 182,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,456 : 84,768 = 84,768 : x
  2. Step 2: Convert to fraction form
    39,456/84,768 = 84,768/x
  3. Step 3: Cross multiply
    39,456x = 84,768 × 84,768
  4. Step 4: Simplify right side
    39,456x = 7,185,613,824
  5. Step 5: Solve for x
    x = 7,185,613,824/39,456
  6. Step 6: Final answer
    x = 182,117.14

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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.