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Finding the Third Proportional to 4,514 and 9,768

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Solution

The third proportional to 4,514 and 9,768 is: 21,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514 : 9,768 = 9,768 : x
  2. Step 2: Convert to fraction form
    4,514/9,768 = 9,768/x
  3. Step 3: Cross multiply
    4,514x = 9,768 × 9,768
  4. Step 4: Simplify right side
    4,514x = 95,413,824
  5. Step 5: Solve for x
    x = 95,413,824/4,514
  6. Step 6: Final answer
    x = 21,137.31

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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.