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Finding the Third Proportional to 17,557.50 and 40,329

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Solution

The third proportional to 17,557.50 and 40,329 is: 92,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,557.50 : 40,329 = 40,329 : x
  2. Step 2: Convert to fraction form
    17,557.50/40,329 = 40,329/x
  3. Step 3: Cross multiply
    17,557.50x = 40,329 × 40,329
  4. Step 4: Simplify right side
    17,557.50x = 1,626,428,241
  5. Step 5: Solve for x
    x = 1,626,428,241/17,557.50
  6. Step 6: Final answer
    x = 92,634.39

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.