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Finding the Third Proportional to 20,890 and 32,065

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Solution

The third proportional to 20,890 and 32,065 is: 49,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,890 : 32,065 = 32,065 : x
  2. Step 2: Convert to fraction form
    20,890/32,065 = 32,065/x
  3. Step 3: Cross multiply
    20,890x = 32,065 × 32,065
  4. Step 4: Simplify right side
    20,890x = 1,028,164,225
  5. Step 5: Solve for x
    x = 1,028,164,225/20,890
  6. Step 6: Final answer
    x = 49,218.01

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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.