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Finding the Third Proportional to 20,762 and 32,235

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Solution

The third proportional to 20,762 and 32,235 is: 50,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762 : 32,235 = 32,235 : x
  2. Step 2: Convert to fraction form
    20,762/32,235 = 32,235/x
  3. Step 3: Cross multiply
    20,762x = 32,235 × 32,235
  4. Step 4: Simplify right side
    20,762x = 1,039,095,225
  5. Step 5: Solve for x
    x = 1,039,095,225/20,762
  6. Step 6: Final answer
    x = 50,047.93

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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.