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Finding the Third Proportional to 29,531 and 63,983

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Solution

The third proportional to 29,531 and 63,983 is: 138,628.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,531 : 63,983 = 63,983 : x
  2. Step 2: Convert to fraction form
    29,531/63,983 = 63,983/x
  3. Step 3: Cross multiply
    29,531x = 63,983 × 63,983
  4. Step 4: Simplify right side
    29,531x = 4,093,824,289
  5. Step 5: Solve for x
    x = 4,093,824,289/29,531
  6. Step 6: Final answer
    x = 138,628.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.