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Finding the Third Proportional to 4,757 and 9,816

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Solution

The third proportional to 4,757 and 9,816 is: 20,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757 : 9,816 = 9,816 : x
  2. Step 2: Convert to fraction form
    4,757/9,816 = 9,816/x
  3. Step 3: Cross multiply
    4,757x = 9,816 × 9,816
  4. Step 4: Simplify right side
    4,757x = 96,353,856
  5. Step 5: Solve for x
    x = 96,353,856/4,757
  6. Step 6: Final answer
    x = 20,255.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.