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Finding the Third Proportional to 20,543 and 42,059.50

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Solution

The third proportional to 20,543 and 42,059.50 is: 86,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543 : 42,059.50 = 42,059.50 : x
  2. Step 2: Convert to fraction form
    20,543/42,059.50 = 42,059.50/x
  3. Step 3: Cross multiply
    20,543x = 42,059.50 × 42,059.50
  4. Step 4: Simplify right side
    20,543x = 1,769,001,540.25
  5. Step 5: Solve for x
    x = 1,769,001,540.25/20,543
  6. Step 6: Final answer
    x = 86,112.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.