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Finding the Third Proportional to 8,091.14 and 12,557.21

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Solution

The third proportional to 8,091.14 and 12,557.21 is: 19,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.14 : 12,557.21 = 12,557.21 : x
  2. Step 2: Convert to fraction form
    8,091.14/12,557.21 = 12,557.21/x
  3. Step 3: Cross multiply
    8,091.14x = 12,557.21 × 12,557.21
  4. Step 4: Simplify right side
    8,091.14x = 157,683,644.63
  5. Step 5: Solve for x
    x = 157,683,644.63/8,091.14
  6. Step 6: Final answer
    x = 19,488.43

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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.