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Finding the Third Proportional to 6,453 and 8,706.38

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Solution

The third proportional to 6,453 and 8,706.38 is: 11,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453 : 8,706.38 = 8,706.38 : x
  2. Step 2: Convert to fraction form
    6,453/8,706.38 = 8,706.38/x
  3. Step 3: Cross multiply
    6,453x = 8,706.38 × 8,706.38
  4. Step 4: Simplify right side
    6,453x = 75,800,965.64
  5. Step 5: Solve for x
    x = 75,800,965.64/6,453
  6. Step 6: Final answer
    x = 11,746.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.