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Finding the Third Proportional to 20,838 and 45,228

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Solution

The third proportional to 20,838 and 45,228 is: 98,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838 : 45,228 = 45,228 : x
  2. Step 2: Convert to fraction form
    20,838/45,228 = 45,228/x
  3. Step 3: Cross multiply
    20,838x = 45,228 × 45,228
  4. Step 4: Simplify right side
    20,838x = 2,045,571,984
  5. Step 5: Solve for x
    x = 2,045,571,984/20,838
  6. Step 6: Final answer
    x = 98,165.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.