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Finding the Third Proportional to 26,752 and 57,211

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Solution

The third proportional to 26,752 and 57,211 is: 122,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,752 : 57,211 = 57,211 : x
  2. Step 2: Convert to fraction form
    26,752/57,211 = 57,211/x
  3. Step 3: Cross multiply
    26,752x = 57,211 × 57,211
  4. Step 4: Simplify right side
    26,752x = 3,273,098,521
  5. Step 5: Solve for x
    x = 3,273,098,521/26,752
  6. Step 6: Final answer
    x = 122,349.68

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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.