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Finding the Third Proportional to 20,960 and 45,238

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Solution

The third proportional to 20,960 and 45,238 is: 97,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,960 : 45,238 = 45,238 : x
  2. Step 2: Convert to fraction form
    20,960/45,238 = 45,238/x
  3. Step 3: Cross multiply
    20,960x = 45,238 × 45,238
  4. Step 4: Simplify right side
    20,960x = 2,046,476,644
  5. Step 5: Solve for x
    x = 2,046,476,644/20,960
  6. Step 6: Final answer
    x = 97,637.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.