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Finding the Third Proportional to 11,557.69 and 17,230.22

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Solution

The third proportional to 11,557.69 and 17,230.22 is: 25,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.69 : 17,230.22 = 17,230.22 : x
  2. Step 2: Convert to fraction form
    11,557.69/17,230.22 = 17,230.22/x
  3. Step 3: Cross multiply
    11,557.69x = 17,230.22 × 17,230.22
  4. Step 4: Simplify right side
    11,557.69x = 296,880,438.17
  5. Step 5: Solve for x
    x = 296,880,438.17/11,557.69
  6. Step 6: Final answer
    x = 25,686.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.