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Finding the Third Proportional to 8,922.38 and 19,337.63

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Solution

The third proportional to 8,922.38 and 19,337.63 is: 41,910.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.38 : 19,337.63 = 19,337.63 : x
  2. Step 2: Convert to fraction form
    8,922.38/19,337.63 = 19,337.63/x
  3. Step 3: Cross multiply
    8,922.38x = 19,337.63 × 19,337.63
  4. Step 4: Simplify right side
    8,922.38x = 373,943,740.64
  5. Step 5: Solve for x
    x = 373,943,740.64/8,922.38
  6. Step 6: Final answer
    x = 41,910.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.