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Finding the Third Proportional to 5,287.78 and 12,239.86

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Solution

The third proportional to 5,287.78 and 12,239.86 is: 28,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.78 : 12,239.86 = 12,239.86 : x
  2. Step 2: Convert to fraction form
    5,287.78/12,239.86 = 12,239.86/x
  3. Step 3: Cross multiply
    5,287.78x = 12,239.86 × 12,239.86
  4. Step 4: Simplify right side
    5,287.78x = 149,814,157.52
  5. Step 5: Solve for x
    x = 149,814,157.52/5,287.78
  6. Step 6: Final answer
    x = 28,332.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.