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Finding the Third Proportional to 7,798 and 18,214

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Solution

The third proportional to 7,798 and 18,214 is: 42,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798 : 18,214 = 18,214 : x
  2. Step 2: Convert to fraction form
    7,798/18,214 = 18,214/x
  3. Step 3: Cross multiply
    7,798x = 18,214 × 18,214
  4. Step 4: Simplify right side
    7,798x = 331,749,796
  5. Step 5: Solve for x
    x = 331,749,796/7,798
  6. Step 6: Final answer
    x = 42,542.93

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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.