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Finding the Third Proportional to 5,968.69 and 7,684.88

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Solution

The third proportional to 5,968.69 and 7,684.88 is: 9,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.69 : 7,684.88 = 7,684.88 : x
  2. Step 2: Convert to fraction form
    5,968.69/7,684.88 = 7,684.88/x
  3. Step 3: Cross multiply
    5,968.69x = 7,684.88 × 7,684.88
  4. Step 4: Simplify right side
    5,968.69x = 59,057,303.77
  5. Step 5: Solve for x
    x = 59,057,303.77/5,968.69
  6. Step 6: Final answer
    x = 9,894.52

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.