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Finding the Third Proportional to 7,958 and 18,499

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Solution

The third proportional to 7,958 and 18,499 is: 43,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958 : 18,499 = 18,499 : x
  2. Step 2: Convert to fraction form
    7,958/18,499 = 18,499/x
  3. Step 3: Cross multiply
    7,958x = 18,499 × 18,499
  4. Step 4: Simplify right side
    7,958x = 342,213,001
  5. Step 5: Solve for x
    x = 342,213,001/7,958
  6. Step 6: Final answer
    x = 43,002.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.