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Finding the Third Proportional to 10,200.30 and 21,955.43

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Solution

The third proportional to 10,200.30 and 21,955.43 is: 47,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.30 : 21,955.43 = 21,955.43 : x
  2. Step 2: Convert to fraction form
    10,200.30/21,955.43 = 21,955.43/x
  3. Step 3: Cross multiply
    10,200.30x = 21,955.43 × 21,955.43
  4. Step 4: Simplify right side
    10,200.30x = 482,040,892.76
  5. Step 5: Solve for x
    x = 482,040,892.76/10,200.30
  6. Step 6: Final answer
    x = 47,257.50

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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.