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Finding the Third Proportional to 29,016 and 67,842

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Solution

The third proportional to 29,016 and 67,842 is: 158,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,016 : 67,842 = 67,842 : x
  2. Step 2: Convert to fraction form
    29,016/67,842 = 67,842/x
  3. Step 3: Cross multiply
    29,016x = 67,842 × 67,842
  4. Step 4: Simplify right side
    29,016x = 4,602,536,964
  5. Step 5: Solve for x
    x = 4,602,536,964/29,016
  6. Step 6: Final answer
    x = 158,620.66

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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.