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Finding the Third Proportional to 26,302 and 38,573

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Solution

The third proportional to 26,302 and 38,573 is: 56,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,302 : 38,573 = 38,573 : x
  2. Step 2: Convert to fraction form
    26,302/38,573 = 38,573/x
  3. Step 3: Cross multiply
    26,302x = 38,573 × 38,573
  4. Step 4: Simplify right side
    26,302x = 1,487,876,329
  5. Step 5: Solve for x
    x = 1,487,876,329/26,302
  6. Step 6: Final answer
    x = 56,568.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.