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Finding the Third Proportional to 9,880.73 and 21,604.22

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Solution

The third proportional to 9,880.73 and 21,604.22 is: 47,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.73 : 21,604.22 = 21,604.22 : x
  2. Step 2: Convert to fraction form
    9,880.73/21,604.22 = 21,604.22/x
  3. Step 3: Cross multiply
    9,880.73x = 21,604.22 × 21,604.22
  4. Step 4: Simplify right side
    9,880.73x = 466,742,267.80
  5. Step 5: Solve for x
    x = 466,742,267.80/9,880.73
  6. Step 6: Final answer
    x = 47,237.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.