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Finding the Third Proportional to 26,322 and 38,667

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Solution

The third proportional to 26,322 and 38,667 is: 56,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,322 : 38,667 = 38,667 : x
  2. Step 2: Convert to fraction form
    26,322/38,667 = 38,667/x
  3. Step 3: Cross multiply
    26,322x = 38,667 × 38,667
  4. Step 4: Simplify right side
    26,322x = 1,495,136,889
  5. Step 5: Solve for x
    x = 1,495,136,889/26,322
  6. Step 6: Final answer
    x = 56,801.80

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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.