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Finding the Third Proportional to 10,500.47 and 21,972.94

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Solution

The third proportional to 10,500.47 and 21,972.94 is: 45,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.47 : 21,972.94 = 21,972.94 : x
  2. Step 2: Convert to fraction form
    10,500.47/21,972.94 = 21,972.94/x
  3. Step 3: Cross multiply
    10,500.47x = 21,972.94 × 21,972.94
  4. Step 4: Simplify right side
    10,500.47x = 482,809,982.38
  5. Step 5: Solve for x
    x = 482,809,982.38/10,500.47
  6. Step 6: Final answer
    x = 45,979.85

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.