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Finding the Third Proportional to 8,841.38 and 19,322.44

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Solution

The third proportional to 8,841.38 and 19,322.44 is: 42,228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,841.38 : 19,322.44 = 19,322.44 : x
  2. Step 2: Convert to fraction form
    8,841.38/19,322.44 = 19,322.44/x
  3. Step 3: Cross multiply
    8,841.38x = 19,322.44 × 19,322.44
  4. Step 4: Simplify right side
    8,841.38x = 373,356,590.94
  5. Step 5: Solve for x
    x = 373,356,590.94/8,841.38
  6. Step 6: Final answer
    x = 42,228.34

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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.