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Finding the Third Proportional to 21,038 and 29,253

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Solution

The third proportional to 21,038 and 29,253 is: 40,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038 : 29,253 = 29,253 : x
  2. Step 2: Convert to fraction form
    21,038/29,253 = 29,253/x
  3. Step 3: Cross multiply
    21,038x = 29,253 × 29,253
  4. Step 4: Simplify right side
    21,038x = 855,738,009
  5. Step 5: Solve for x
    x = 855,738,009/21,038
  6. Step 6: Final answer
    x = 40,675.83

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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.