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Finding the Third Proportional to 12,551.34 and 19,434.66

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Solution

The third proportional to 12,551.34 and 19,434.66 is: 30,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551.34 : 19,434.66 = 19,434.66 : x
  2. Step 2: Convert to fraction form
    12,551.34/19,434.66 = 19,434.66/x
  3. Step 3: Cross multiply
    12,551.34x = 19,434.66 × 19,434.66
  4. Step 4: Simplify right side
    12,551.34x = 377,705,863.56
  5. Step 5: Solve for x
    x = 377,705,863.56/12,551.34
  6. Step 6: Final answer
    x = 30,092.86

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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.