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Finding the Third Proportional to 6,369.75 and 8,461.13

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Solution

The third proportional to 6,369.75 and 8,461.13 is: 11,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.75 : 8,461.13 = 8,461.13 : x
  2. Step 2: Convert to fraction form
    6,369.75/8,461.13 = 8,461.13/x
  3. Step 3: Cross multiply
    6,369.75x = 8,461.13 × 8,461.13
  4. Step 4: Simplify right side
    6,369.75x = 71,590,636.27
  5. Step 5: Solve for x
    x = 71,590,636.27/6,369.75
  6. Step 6: Final answer
    x = 11,239.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.