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Finding the Third Proportional to 4,914 and 10,786

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Solution

The third proportional to 4,914 and 10,786 is: 23,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914 : 10,786 = 10,786 : x
  2. Step 2: Convert to fraction form
    4,914/10,786 = 10,786/x
  3. Step 3: Cross multiply
    4,914x = 10,786 × 10,786
  4. Step 4: Simplify right side
    4,914x = 116,337,796
  5. Step 5: Solve for x
    x = 116,337,796/4,914
  6. Step 6: Final answer
    x = 23,674.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.