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Finding the Third Proportional to 26,249 and 41,747

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Solution

The third proportional to 26,249 and 41,747 is: 66,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,249 : 41,747 = 41,747 : x
  2. Step 2: Convert to fraction form
    26,249/41,747 = 41,747/x
  3. Step 3: Cross multiply
    26,249x = 41,747 × 41,747
  4. Step 4: Simplify right side
    26,249x = 1,742,812,009
  5. Step 5: Solve for x
    x = 1,742,812,009/26,249
  6. Step 6: Final answer
    x = 66,395.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.