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Finding the Third Proportional to 7,873 and 18,389

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Solution

The third proportional to 7,873 and 18,389 is: 42,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873 : 18,389 = 18,389 : x
  2. Step 2: Convert to fraction form
    7,873/18,389 = 18,389/x
  3. Step 3: Cross multiply
    7,873x = 18,389 × 18,389
  4. Step 4: Simplify right side
    7,873x = 338,155,321
  5. Step 5: Solve for x
    x = 338,155,321/7,873
  6. Step 6: Final answer
    x = 42,951.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.