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Finding the Third Proportional to 26,692 and 40,038

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Solution

The third proportional to 26,692 and 40,038 is: 60,057

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,692 : 40,038 = 40,038 : x
  2. Step 2: Convert to fraction form
    26,692/40,038 = 40,038/x
  3. Step 3: Cross multiply
    26,692x = 40,038 × 40,038
  4. Step 4: Simplify right side
    26,692x = 1,603,041,444
  5. Step 5: Solve for x
    x = 1,603,041,444/26,692
  6. Step 6: Final answer
    x = 60,057

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.