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Finding the Third Proportional to 6,346.69 and 9,668.95

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Solution

The third proportional to 6,346.69 and 9,668.95 is: 14,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.69 : 9,668.95 = 9,668.95 : x
  2. Step 2: Convert to fraction form
    6,346.69/9,668.95 = 9,668.95/x
  3. Step 3: Cross multiply
    6,346.69x = 9,668.95 × 9,668.95
  4. Step 4: Simplify right side
    6,346.69x = 93,488,654.53
  5. Step 5: Solve for x
    x = 93,488,654.53/6,346.69
  6. Step 6: Final answer
    x = 14,730.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.