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Finding the Third Proportional to 7,669.69 and 8,317.69

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Solution

The third proportional to 7,669.69 and 8,317.69 is: 9,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.69 : 8,317.69 = 8,317.69 : x
  2. Step 2: Convert to fraction form
    7,669.69/8,317.69 = 8,317.69/x
  3. Step 3: Cross multiply
    7,669.69x = 8,317.69 × 8,317.69
  4. Step 4: Simplify right side
    7,669.69x = 69,183,925.35
  5. Step 5: Solve for x
    x = 69,183,925.35/7,669.69
  6. Step 6: Final answer
    x = 9,020.44

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.