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Finding the Third Proportional to 12,536.02 and 19,473.54

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Solution

The third proportional to 12,536.02 and 19,473.54 is: 30,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.02 : 19,473.54 = 19,473.54 : x
  2. Step 2: Convert to fraction form
    12,536.02/19,473.54 = 19,473.54/x
  3. Step 3: Cross multiply
    12,536.02x = 19,473.54 × 19,473.54
  4. Step 4: Simplify right side
    12,536.02x = 379,218,723.62
  5. Step 5: Solve for x
    x = 379,218,723.62/12,536.02
  6. Step 6: Final answer
    x = 30,250.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.