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Finding the Third Proportional to 1,354.88 and 3,192.94

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Solution

The third proportional to 1,354.88 and 3,192.94 is: 7,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.88 : 3,192.94 = 3,192.94 : x
  2. Step 2: Convert to fraction form
    1,354.88/3,192.94 = 3,192.94/x
  3. Step 3: Cross multiply
    1,354.88x = 3,192.94 × 3,192.94
  4. Step 4: Simplify right side
    1,354.88x = 10,194,849.88
  5. Step 5: Solve for x
    x = 10,194,849.88/1,354.88
  6. Step 6: Final answer
    x = 7,524.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.