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Finding the Third Proportional to 9,678.38 and 21,201.94

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Solution

The third proportional to 9,678.38 and 21,201.94 is: 46,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.38 : 21,201.94 = 21,201.94 : x
  2. Step 2: Convert to fraction form
    9,678.38/21,201.94 = 21,201.94/x
  3. Step 3: Cross multiply
    9,678.38x = 21,201.94 × 21,201.94
  4. Step 4: Simplify right side
    9,678.38x = 449,522,153.75
  5. Step 5: Solve for x
    x = 449,522,153.75/9,678.38
  6. Step 6: Final answer
    x = 46,446.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.