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Finding the Third Proportional to 26,725.50 and 41,931

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Solution

The third proportional to 26,725.50 and 41,931 is: 65,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,725.50 : 41,931 = 41,931 : x
  2. Step 2: Convert to fraction form
    26,725.50/41,931 = 41,931/x
  3. Step 3: Cross multiply
    26,725.50x = 41,931 × 41,931
  4. Step 4: Simplify right side
    26,725.50x = 1,758,208,761
  5. Step 5: Solve for x
    x = 1,758,208,761/26,725.50
  6. Step 6: Final answer
    x = 65,787.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.