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Finding the Third Proportional to 26,577 and 37,155

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Solution

The third proportional to 26,577 and 37,155 is: 51,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,577 : 37,155 = 37,155 : x
  2. Step 2: Convert to fraction form
    26,577/37,155 = 37,155/x
  3. Step 3: Cross multiply
    26,577x = 37,155 × 37,155
  4. Step 4: Simplify right side
    26,577x = 1,380,494,025
  5. Step 5: Solve for x
    x = 1,380,494,025/26,577
  6. Step 6: Final answer
    x = 51,943.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.