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Finding the Third Proportional to 8,942.63 and 19,424.25

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Solution

The third proportional to 8,942.63 and 19,424.25 is: 42,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.63 : 19,424.25 = 19,424.25 : x
  2. Step 2: Convert to fraction form
    8,942.63/19,424.25 = 19,424.25/x
  3. Step 3: Cross multiply
    8,942.63x = 19,424.25 × 19,424.25
  4. Step 4: Simplify right side
    8,942.63x = 377,301,488.06
  5. Step 5: Solve for x
    x = 377,301,488.06/8,942.63
  6. Step 6: Final answer
    x = 42,191.36

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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.