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Finding the Third Proportional to 9,893.60 and 21,171.11

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Solution

The third proportional to 9,893.60 and 21,171.11 is: 45,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.60 : 21,171.11 = 21,171.11 : x
  2. Step 2: Convert to fraction form
    9,893.60/21,171.11 = 21,171.11/x
  3. Step 3: Cross multiply
    9,893.60x = 21,171.11 × 21,171.11
  4. Step 4: Simplify right side
    9,893.60x = 448,215,954.87
  5. Step 5: Solve for x
    x = 448,215,954.87/9,893.60
  6. Step 6: Final answer
    x = 45,303.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.