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Finding the Third Proportional to 6,509.50 and 10,350

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Solution

The third proportional to 6,509.50 and 10,350 is: 16,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.50 : 10,350 = 10,350 : x
  2. Step 2: Convert to fraction form
    6,509.50/10,350 = 10,350/x
  3. Step 3: Cross multiply
    6,509.50x = 10,350 × 10,350
  4. Step 4: Simplify right side
    6,509.50x = 107,122,500
  5. Step 5: Solve for x
    x = 107,122,500/6,509.50
  6. Step 6: Final answer
    x = 16,456.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.