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Finding the Third Proportional to 26,724 and 36,238.50

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Solution

The third proportional to 26,724 and 36,238.50 is: 49,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,724 : 36,238.50 = 36,238.50 : x
  2. Step 2: Convert to fraction form
    26,724/36,238.50 = 36,238.50/x
  3. Step 3: Cross multiply
    26,724x = 36,238.50 × 36,238.50
  4. Step 4: Simplify right side
    26,724x = 1,313,228,882.25
  5. Step 5: Solve for x
    x = 1,313,228,882.25/26,724
  6. Step 6: Final answer
    x = 49,140.43

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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.