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Finding the Third Proportional to 12,476 and 26,954

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Solution

The third proportional to 12,476 and 26,954 is: 58,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476 : 26,954 = 26,954 : x
  2. Step 2: Convert to fraction form
    12,476/26,954 = 26,954/x
  3. Step 3: Cross multiply
    12,476x = 26,954 × 26,954
  4. Step 4: Simplify right side
    12,476x = 726,518,116
  5. Step 5: Solve for x
    x = 726,518,116/12,476
  6. Step 6: Final answer
    x = 58,233.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.