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Finding the Third Proportional to 7,669.69 and 18,532.55

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Solution

The third proportional to 7,669.69 and 18,532.55 is: 44,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.69 : 18,532.55 = 18,532.55 : x
  2. Step 2: Convert to fraction form
    7,669.69/18,532.55 = 18,532.55/x
  3. Step 3: Cross multiply
    7,669.69x = 18,532.55 × 18,532.55
  4. Step 4: Simplify right side
    7,669.69x = 343,455,293.67
  5. Step 5: Solve for x
    x = 343,455,293.67/7,669.69
  6. Step 6: Final answer
    x = 44,780.87

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.