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Finding the Third Proportional to 7,744.50 and 16,488

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Solution

The third proportional to 7,744.50 and 16,488 is: 35,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.50 : 16,488 = 16,488 : x
  2. Step 2: Convert to fraction form
    7,744.50/16,488 = 16,488/x
  3. Step 3: Cross multiply
    7,744.50x = 16,488 × 16,488
  4. Step 4: Simplify right side
    7,744.50x = 271,854,144
  5. Step 5: Solve for x
    x = 271,854,144/7,744.50
  6. Step 6: Final answer
    x = 35,102.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.