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Finding the Third Proportional to 20,959.50 and 43,984.50

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Solution

The third proportional to 20,959.50 and 43,984.50 is: 92,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,959.50 : 43,984.50 = 43,984.50 : x
  2. Step 2: Convert to fraction form
    20,959.50/43,984.50 = 43,984.50/x
  3. Step 3: Cross multiply
    20,959.50x = 43,984.50 × 43,984.50
  4. Step 4: Simplify right side
    20,959.50x = 1,934,636,240.25
  5. Step 5: Solve for x
    x = 1,934,636,240.25/20,959.50
  6. Step 6: Final answer
    x = 92,303.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.