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Finding the Third Proportional to 29,682 and 63,971

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Solution

The third proportional to 29,682 and 63,971 is: 137,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682 : 63,971 = 63,971 : x
  2. Step 2: Convert to fraction form
    29,682/63,971 = 63,971/x
  3. Step 3: Cross multiply
    29,682x = 63,971 × 63,971
  4. Step 4: Simplify right side
    29,682x = 4,092,288,841
  5. Step 5: Solve for x
    x = 4,092,288,841/29,682
  6. Step 6: Final answer
    x = 137,871.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.