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Finding the Third Proportional to 9,092.25 and 13,602.94

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Solution

The third proportional to 9,092.25 and 13,602.94 is: 20,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.25 : 13,602.94 = 13,602.94 : x
  2. Step 2: Convert to fraction form
    9,092.25/13,602.94 = 13,602.94/x
  3. Step 3: Cross multiply
    9,092.25x = 13,602.94 × 13,602.94
  4. Step 4: Simplify right side
    9,092.25x = 185,039,908.63
  5. Step 5: Solve for x
    x = 185,039,908.63/9,092.25
  6. Step 6: Final answer
    x = 20,351.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.