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Finding the Third Proportional to 8,562 and 12,971

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Solution

The third proportional to 8,562 and 12,971 is: 19,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562 : 12,971 = 12,971 : x
  2. Step 2: Convert to fraction form
    8,562/12,971 = 12,971/x
  3. Step 3: Cross multiply
    8,562x = 12,971 × 12,971
  4. Step 4: Simplify right side
    8,562x = 168,246,841
  5. Step 5: Solve for x
    x = 168,246,841/8,562
  6. Step 6: Final answer
    x = 19,650.41

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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.