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Finding the Third Proportional to 6,369.26 and 13,830.12

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Solution

The third proportional to 6,369.26 and 13,830.12 is: 30,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.26 : 13,830.12 = 13,830.12 : x
  2. Step 2: Convert to fraction form
    6,369.26/13,830.12 = 13,830.12/x
  3. Step 3: Cross multiply
    6,369.26x = 13,830.12 × 13,830.12
  4. Step 4: Simplify right side
    6,369.26x = 191,272,141.42
  5. Step 5: Solve for x
    x = 191,272,141.42/6,369.26
  6. Step 6: Final answer
    x = 30,030.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.