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Finding the Third Proportional to 26,546 and 37,207

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Solution

The third proportional to 26,546 and 37,207 is: 52,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546 : 37,207 = 37,207 : x
  2. Step 2: Convert to fraction form
    26,546/37,207 = 37,207/x
  3. Step 3: Cross multiply
    26,546x = 37,207 × 37,207
  4. Step 4: Simplify right side
    26,546x = 1,384,360,849
  5. Step 5: Solve for x
    x = 1,384,360,849/26,546
  6. Step 6: Final answer
    x = 52,149.51

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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.