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Finding the Third Proportional to 8,580 and 12,962

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Solution

The third proportional to 8,580 and 12,962 is: 19,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580 : 12,962 = 12,962 : x
  2. Step 2: Convert to fraction form
    8,580/12,962 = 12,962/x
  3. Step 3: Cross multiply
    8,580x = 12,962 × 12,962
  4. Step 4: Simplify right side
    8,580x = 168,013,444
  5. Step 5: Solve for x
    x = 168,013,444/8,580
  6. Step 6: Final answer
    x = 19,581.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.