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Finding the Third Proportional to 26,447 and 38,779

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Solution

The third proportional to 26,447 and 38,779 is: 56,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,447 : 38,779 = 38,779 : x
  2. Step 2: Convert to fraction form
    26,447/38,779 = 38,779/x
  3. Step 3: Cross multiply
    26,447x = 38,779 × 38,779
  4. Step 4: Simplify right side
    26,447x = 1,503,810,841
  5. Step 5: Solve for x
    x = 1,503,810,841/26,447
  6. Step 6: Final answer
    x = 56,861.30

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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.