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Finding the Third Proportional to 10,500.05 and 21,972.52

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Solution

The third proportional to 10,500.05 and 21,972.52 is: 45,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.05 : 21,972.52 = 21,972.52 : x
  2. Step 2: Convert to fraction form
    10,500.05/21,972.52 = 21,972.52/x
  3. Step 3: Cross multiply
    10,500.05x = 21,972.52 × 21,972.52
  4. Step 4: Simplify right side
    10,500.05x = 482,791,442.89
  5. Step 5: Solve for x
    x = 482,791,442.89/10,500.05
  6. Step 6: Final answer
    x = 45,979.93

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Why These Related Problems?

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