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Finding the Third Proportional to 6,277.81 and 9,211.69

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Solution

The third proportional to 6,277.81 and 9,211.69 is: 13,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.81 : 9,211.69 = 9,211.69 : x
  2. Step 2: Convert to fraction form
    6,277.81/9,211.69 = 9,211.69/x
  3. Step 3: Cross multiply
    6,277.81x = 9,211.69 × 9,211.69
  4. Step 4: Simplify right side
    6,277.81x = 84,855,186.60
  5. Step 5: Solve for x
    x = 84,855,186.60/6,277.81
  6. Step 6: Final answer
    x = 13,516.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.