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Finding the Third Proportional to 20,670 and 32,085

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Solution

The third proportional to 20,670 and 32,085 is: 49,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,670 : 32,085 = 32,085 : x
  2. Step 2: Convert to fraction form
    20,670/32,085 = 32,085/x
  3. Step 3: Cross multiply
    20,670x = 32,085 × 32,085
  4. Step 4: Simplify right side
    20,670x = 1,029,447,225
  5. Step 5: Solve for x
    x = 1,029,447,225/20,670
  6. Step 6: Final answer
    x = 49,803.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.