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Finding the Third Proportional to 10,299.97 and 21,146.70

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Solution

The third proportional to 10,299.97 and 21,146.70 is: 43,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.97 : 21,146.70 = 21,146.70 : x
  2. Step 2: Convert to fraction form
    10,299.97/21,146.70 = 21,146.70/x
  3. Step 3: Cross multiply
    10,299.97x = 21,146.70 × 21,146.70
  4. Step 4: Simplify right side
    10,299.97x = 447,182,722.64
  5. Step 5: Solve for x
    x = 447,182,722.64/10,299.97
  6. Step 6: Final answer
    x = 43,415.91

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.