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Finding the Third Proportional to 26,447 and 57,250

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Solution

The third proportional to 26,447 and 57,250 is: 123,929.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,447 : 57,250 = 57,250 : x
  2. Step 2: Convert to fraction form
    26,447/57,250 = 57,250/x
  3. Step 3: Cross multiply
    26,447x = 57,250 × 57,250
  4. Step 4: Simplify right side
    26,447x = 3,277,562,500
  5. Step 5: Solve for x
    x = 3,277,562,500/26,447
  6. Step 6: Final answer
    x = 123,929.46

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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.