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Finding the Third Proportional to 6,271.69 and 9,683.16

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Solution

The third proportional to 6,271.69 and 9,683.16 is: 14,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.69 : 9,683.16 = 9,683.16 : x
  2. Step 2: Convert to fraction form
    6,271.69/9,683.16 = 9,683.16/x
  3. Step 3: Cross multiply
    6,271.69x = 9,683.16 × 9,683.16
  4. Step 4: Simplify right side
    6,271.69x = 93,763,514.96
  5. Step 5: Solve for x
    x = 93,763,514.96/6,271.69
  6. Step 6: Final answer
    x = 14,950.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.