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Finding the Third Proportional to 9,201.38 and 19,859.94

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Solution

The third proportional to 9,201.38 and 19,859.94 is: 42,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.38 : 19,859.94 = 19,859.94 : x
  2. Step 2: Convert to fraction form
    9,201.38/19,859.94 = 19,859.94/x
  3. Step 3: Cross multiply
    9,201.38x = 19,859.94 × 19,859.94
  4. Step 4: Simplify right side
    9,201.38x = 394,417,117.50
  5. Step 5: Solve for x
    x = 394,417,117.50/9,201.38
  6. Step 6: Final answer
    x = 42,865.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.