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Finding the Third Proportional to 7,733.81 and 12,452.06

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Solution

The third proportional to 7,733.81 and 12,452.06 is: 20,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.81 : 12,452.06 = 12,452.06 : x
  2. Step 2: Convert to fraction form
    7,733.81/12,452.06 = 12,452.06/x
  3. Step 3: Cross multiply
    7,733.81x = 12,452.06 × 12,452.06
  4. Step 4: Simplify right side
    7,733.81x = 155,053,860.50
  5. Step 5: Solve for x
    x = 155,053,860.50/7,733.81
  6. Step 6: Final answer
    x = 20,048.83

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.