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Finding the Third Proportional to 6,703 and 10,416.50

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Solution

The third proportional to 6,703 and 10,416.50 is: 16,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703 : 10,416.50 = 10,416.50 : x
  2. Step 2: Convert to fraction form
    6,703/10,416.50 = 10,416.50/x
  3. Step 3: Cross multiply
    6,703x = 10,416.50 × 10,416.50
  4. Step 4: Simplify right side
    6,703x = 108,503,472.25
  5. Step 5: Solve for x
    x = 108,503,472.25/6,703
  6. Step 6: Final answer
    x = 16,187.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.