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Finding the Third Proportional to 20,963 and 42,534

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Solution

The third proportional to 20,963 and 42,534 is: 86,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,963 : 42,534 = 42,534 : x
  2. Step 2: Convert to fraction form
    20,963/42,534 = 42,534/x
  3. Step 3: Cross multiply
    20,963x = 42,534 × 42,534
  4. Step 4: Simplify right side
    20,963x = 1,809,141,156
  5. Step 5: Solve for x
    x = 1,809,141,156/20,963
  6. Step 6: Final answer
    x = 86,301.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.