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Finding the Third Proportional to 10,080.70 and 21,314.71

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Solution

The third proportional to 10,080.70 and 21,314.71 is: 45,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.70 : 21,314.71 = 21,314.71 : x
  2. Step 2: Convert to fraction form
    10,080.70/21,314.71 = 21,314.71/x
  3. Step 3: Cross multiply
    10,080.70x = 21,314.71 × 21,314.71
  4. Step 4: Simplify right side
    10,080.70x = 454,316,735.83
  5. Step 5: Solve for x
    x = 454,316,735.83/10,080.70
  6. Step 6: Final answer
    x = 45,067.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.