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Finding the Third Proportional to 23,571 and 36,176.63

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Solution

The third proportional to 23,571 and 36,176.63 is: 55,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,571 : 36,176.63 = 36,176.63 : x
  2. Step 2: Convert to fraction form
    23,571/36,176.63 = 36,176.63/x
  3. Step 3: Cross multiply
    23,571x = 36,176.63 × 36,176.63
  4. Step 4: Simplify right side
    23,571x = 1,308,748,196.39
  5. Step 5: Solve for x
    x = 1,308,748,196.39/23,571
  6. Step 6: Final answer
    x = 55,523.66

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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.