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Finding the Third Proportional to 12,539 and 26,710

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Solution

The third proportional to 12,539 and 26,710 is: 56,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,539 : 26,710 = 26,710 : x
  2. Step 2: Convert to fraction form
    12,539/26,710 = 26,710/x
  3. Step 3: Cross multiply
    12,539x = 26,710 × 26,710
  4. Step 4: Simplify right side
    12,539x = 713,424,100
  5. Step 5: Solve for x
    x = 713,424,100/12,539
  6. Step 6: Final answer
    x = 56,896.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.