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Finding the Third Proportional to 2,333.18 and 5,030.86

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Solution

The third proportional to 2,333.18 and 5,030.86 is: 10,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.18 : 5,030.86 = 5,030.86 : x
  2. Step 2: Convert to fraction form
    2,333.18/5,030.86 = 5,030.86/x
  3. Step 3: Cross multiply
    2,333.18x = 5,030.86 × 5,030.86
  4. Step 4: Simplify right side
    2,333.18x = 25,309,546.05
  5. Step 5: Solve for x
    x = 25,309,546.05/2,333.18
  6. Step 6: Final answer
    x = 10,847.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.