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Finding the Third Proportional to 30,864 and 43,701

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Solution

The third proportional to 30,864 and 43,701 is: 61,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,864 : 43,701 = 43,701 : x
  2. Step 2: Convert to fraction form
    30,864/43,701 = 43,701/x
  3. Step 3: Cross multiply
    30,864x = 43,701 × 43,701
  4. Step 4: Simplify right side
    30,864x = 1,909,777,401
  5. Step 5: Solve for x
    x = 1,909,777,401/30,864
  6. Step 6: Final answer
    x = 61,877.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.