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Finding the Third Proportional to 26,576 and 36,108.75

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Solution

The third proportional to 26,576 and 36,108.75 is: 49,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,576 : 36,108.75 = 36,108.75 : x
  2. Step 2: Convert to fraction form
    26,576/36,108.75 = 36,108.75/x
  3. Step 3: Cross multiply
    26,576x = 36,108.75 × 36,108.75
  4. Step 4: Simplify right side
    26,576x = 1,303,841,826.56
  5. Step 5: Solve for x
    x = 1,303,841,826.56/26,576
  6. Step 6: Final answer
    x = 49,060.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.