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Finding the Third Proportional to 20,255 and 43,534

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Solution

The third proportional to 20,255 and 43,534 is: 93,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,255 : 43,534 = 43,534 : x
  2. Step 2: Convert to fraction form
    20,255/43,534 = 43,534/x
  3. Step 3: Cross multiply
    20,255x = 43,534 × 43,534
  4. Step 4: Simplify right side
    20,255x = 1,895,209,156
  5. Step 5: Solve for x
    x = 1,895,209,156/20,255
  6. Step 6: Final answer
    x = 93,567.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.