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Finding the Third Proportional to 4,411.73 and 9,627.21

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Solution

The third proportional to 4,411.73 and 9,627.21 is: 21,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411.73 : 9,627.21 = 9,627.21 : x
  2. Step 2: Convert to fraction form
    4,411.73/9,627.21 = 9,627.21/x
  3. Step 3: Cross multiply
    4,411.73x = 9,627.21 × 9,627.21
  4. Step 4: Simplify right side
    4,411.73x = 92,683,246.84
  5. Step 5: Solve for x
    x = 92,683,246.84/4,411.73
  6. Step 6: Final answer
    x = 21,008.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.