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Finding the Third Proportional to 31,529 and 66,905

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Solution

The third proportional to 31,529 and 66,905 is: 141,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,529 : 66,905 = 66,905 : x
  2. Step 2: Convert to fraction form
    31,529/66,905 = 66,905/x
  3. Step 3: Cross multiply
    31,529x = 66,905 × 66,905
  4. Step 4: Simplify right side
    31,529x = 4,476,279,025
  5. Step 5: Solve for x
    x = 4,476,279,025/31,529
  6. Step 6: Final answer
    x = 141,973.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.