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Finding the Third Proportional to 20,253 and 44,489

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Solution

The third proportional to 20,253 and 44,489 is: 97,727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253 : 44,489 = 44,489 : x
  2. Step 2: Convert to fraction form
    20,253/44,489 = 44,489/x
  3. Step 3: Cross multiply
    20,253x = 44,489 × 44,489
  4. Step 4: Simplify right side
    20,253x = 1,979,271,121
  5. Step 5: Solve for x
    x = 1,979,271,121/20,253
  6. Step 6: Final answer
    x = 97,727.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.