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Finding the Third Proportional to 21,032 and 29,244

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Solution

The third proportional to 21,032 and 29,244 is: 40,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032 : 29,244 = 29,244 : x
  2. Step 2: Convert to fraction form
    21,032/29,244 = 29,244/x
  3. Step 3: Cross multiply
    21,032x = 29,244 × 29,244
  4. Step 4: Simplify right side
    21,032x = 855,211,536
  5. Step 5: Solve for x
    x = 855,211,536/21,032
  6. Step 6: Final answer
    x = 40,662.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.