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Finding the Third Proportional to 26,344 and 40,475

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Solution

The third proportional to 26,344 and 40,475 is: 62,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,344 : 40,475 = 40,475 : x
  2. Step 2: Convert to fraction form
    26,344/40,475 = 40,475/x
  3. Step 3: Cross multiply
    26,344x = 40,475 × 40,475
  4. Step 4: Simplify right side
    26,344x = 1,638,225,625
  5. Step 5: Solve for x
    x = 1,638,225,625/26,344
  6. Step 6: Final answer
    x = 62,185.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.