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Finding the Third Proportional to 23,738.06 and 36,234.84

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Solution

The third proportional to 23,738.06 and 36,234.84 is: 55,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,738.06 : 36,234.84 = 36,234.84 : x
  2. Step 2: Convert to fraction form
    23,738.06/36,234.84 = 36,234.84/x
  3. Step 3: Cross multiply
    23,738.06x = 36,234.84 × 36,234.84
  4. Step 4: Simplify right side
    23,738.06x = 1,312,963,901.59
  5. Step 5: Solve for x
    x = 1,312,963,901.59/23,738.06
  6. Step 6: Final answer
    x = 55,310.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.