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Finding the Third Proportional to 26,775 and 37,609.50

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Solution

The third proportional to 26,775 and 37,609.50 is: 52,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,775 : 37,609.50 = 37,609.50 : x
  2. Step 2: Convert to fraction form
    26,775/37,609.50 = 37,609.50/x
  3. Step 3: Cross multiply
    26,775x = 37,609.50 × 37,609.50
  4. Step 4: Simplify right side
    26,775x = 1,414,474,490.25
  5. Step 5: Solve for x
    x = 1,414,474,490.25/26,775
  6. Step 6: Final answer
    x = 52,828.18

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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.