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Finding the Third Proportional to 8,462 and 12,948

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Solution

The third proportional to 8,462 and 12,948 is: 19,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462 : 12,948 = 12,948 : x
  2. Step 2: Convert to fraction form
    8,462/12,948 = 12,948/x
  3. Step 3: Cross multiply
    8,462x = 12,948 × 12,948
  4. Step 4: Simplify right side
    8,462x = 167,650,704
  5. Step 5: Solve for x
    x = 167,650,704/8,462
  6. Step 6: Final answer
    x = 19,812.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.