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Finding the Third Proportional to 21,214.75 and 44,172.50

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Solution

The third proportional to 21,214.75 and 44,172.50 is: 91,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.75 : 44,172.50 = 44,172.50 : x
  2. Step 2: Convert to fraction form
    21,214.75/44,172.50 = 44,172.50/x
  3. Step 3: Cross multiply
    21,214.75x = 44,172.50 × 44,172.50
  4. Step 4: Simplify right side
    21,214.75x = 1,951,209,756.25
  5. Step 5: Solve for x
    x = 1,951,209,756.25/21,214.75
  6. Step 6: Final answer
    x = 91,974.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.