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Finding the Third Proportional to 14,068 and 32,866

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Solution

The third proportional to 14,068 and 32,866 is: 76,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068 : 32,866 = 32,866 : x
  2. Step 2: Convert to fraction form
    14,068/32,866 = 32,866/x
  3. Step 3: Cross multiply
    14,068x = 32,866 × 32,866
  4. Step 4: Simplify right side
    14,068x = 1,080,173,956
  5. Step 5: Solve for x
    x = 1,080,173,956/14,068
  6. Step 6: Final answer
    x = 76,782.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.