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Finding the Third Proportional to 8,523 and 12,930

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Solution

The third proportional to 8,523 and 12,930 is: 19,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523 : 12,930 = 12,930 : x
  2. Step 2: Convert to fraction form
    8,523/12,930 = 12,930/x
  3. Step 3: Cross multiply
    8,523x = 12,930 × 12,930
  4. Step 4: Simplify right side
    8,523x = 167,184,900
  5. Step 5: Solve for x
    x = 167,184,900/8,523
  6. Step 6: Final answer
    x = 19,615.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.