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Finding the Third Proportional to 30,512 and 65,706

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Solution

The third proportional to 30,512 and 65,706 is: 141,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512 : 65,706 = 65,706 : x
  2. Step 2: Convert to fraction form
    30,512/65,706 = 65,706/x
  3. Step 3: Cross multiply
    30,512x = 65,706 × 65,706
  4. Step 4: Simplify right side
    30,512x = 4,317,278,436
  5. Step 5: Solve for x
    x = 4,317,278,436/30,512
  6. Step 6: Final answer
    x = 141,494.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.