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Finding the Third Proportional to 8,958 and 11,613

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Solution

The third proportional to 8,958 and 11,613 is: 15,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,958 : 11,613 = 11,613 : x
  2. Step 2: Convert to fraction form
    8,958/11,613 = 11,613/x
  3. Step 3: Cross multiply
    8,958x = 11,613 × 11,613
  4. Step 4: Simplify right side
    8,958x = 134,861,769
  5. Step 5: Solve for x
    x = 134,861,769/8,958
  6. Step 6: Final answer
    x = 15,054.90

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.