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Finding the Third Proportional to 12,412 and 26,546

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Solution

The third proportional to 12,412 and 26,546 is: 56,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412 : 26,546 = 26,546 : x
  2. Step 2: Convert to fraction form
    12,412/26,546 = 26,546/x
  3. Step 3: Cross multiply
    12,412x = 26,546 × 26,546
  4. Step 4: Simplify right side
    12,412x = 704,690,116
  5. Step 5: Solve for x
    x = 704,690,116/12,412
  6. Step 6: Final answer
    x = 56,774.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.