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Finding the Third Proportional to 26,658 and 39,015

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Solution

The third proportional to 26,658 and 39,015 is: 57,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,658 : 39,015 = 39,015 : x
  2. Step 2: Convert to fraction form
    26,658/39,015 = 39,015/x
  3. Step 3: Cross multiply
    26,658x = 39,015 × 39,015
  4. Step 4: Simplify right side
    26,658x = 1,522,170,225
  5. Step 5: Solve for x
    x = 1,522,170,225/26,658
  6. Step 6: Final answer
    x = 57,099.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.