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Finding the Third Proportional to 11,763.67 and 24,484.15

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Solution

The third proportional to 11,763.67 and 24,484.15 is: 50,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.67 : 24,484.15 = 24,484.15 : x
  2. Step 2: Convert to fraction form
    11,763.67/24,484.15 = 24,484.15/x
  3. Step 3: Cross multiply
    11,763.67x = 24,484.15 × 24,484.15
  4. Step 4: Simplify right side
    11,763.67x = 599,473,524.71
  5. Step 5: Solve for x
    x = 599,473,524.71/11,763.67
  6. Step 6: Final answer
    x = 50,959.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.