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Finding the Third Proportional to 7,823 and 15,918

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Solution

The third proportional to 7,823 and 15,918 is: 32,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823 : 15,918 = 15,918 : x
  2. Step 2: Convert to fraction form
    7,823/15,918 = 15,918/x
  3. Step 3: Cross multiply
    7,823x = 15,918 × 15,918
  4. Step 4: Simplify right side
    7,823x = 253,382,724
  5. Step 5: Solve for x
    x = 253,382,724/7,823
  6. Step 6: Final answer
    x = 32,389.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.