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Finding the Third Proportional to 20,975 and 32,516

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Solution

The third proportional to 20,975 and 32,516 is: 50,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,975 : 32,516 = 32,516 : x
  2. Step 2: Convert to fraction form
    20,975/32,516 = 32,516/x
  3. Step 3: Cross multiply
    20,975x = 32,516 × 32,516
  4. Step 4: Simplify right side
    20,975x = 1,057,290,256
  5. Step 5: Solve for x
    x = 1,057,290,256/20,975
  6. Step 6: Final answer
    x = 50,407.16

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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.