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Finding the Third Proportional to 9,504 and 12,613

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Solution

The third proportional to 9,504 and 12,613 is: 16,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504 : 12,613 = 12,613 : x
  2. Step 2: Convert to fraction form
    9,504/12,613 = 12,613/x
  3. Step 3: Cross multiply
    9,504x = 12,613 × 12,613
  4. Step 4: Simplify right side
    9,504x = 159,087,769
  5. Step 5: Solve for x
    x = 159,087,769/9,504
  6. Step 6: Final answer
    x = 16,739.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.