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Finding the Third Proportional to 7,561.69 and 14,743.69

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Solution

The third proportional to 7,561.69 and 14,743.69 is: 28,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.69 : 14,743.69 = 14,743.69 : x
  2. Step 2: Convert to fraction form
    7,561.69/14,743.69 = 14,743.69/x
  3. Step 3: Cross multiply
    7,561.69x = 14,743.69 × 14,743.69
  4. Step 4: Simplify right side
    7,561.69x = 217,376,321.10
  5. Step 5: Solve for x
    x = 217,376,321.10/7,561.69
  6. Step 6: Final answer
    x = 28,747.06

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.