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Finding the Third Proportional to 11,847.52 and 26,321.20

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Solution

The third proportional to 11,847.52 and 26,321.20 is: 58,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.52 : 26,321.20 = 26,321.20 : x
  2. Step 2: Convert to fraction form
    11,847.52/26,321.20 = 26,321.20/x
  3. Step 3: Cross multiply
    11,847.52x = 26,321.20 × 26,321.20
  4. Step 4: Simplify right side
    11,847.52x = 692,805,733.95
  5. Step 5: Solve for x
    x = 692,805,733.95/11,847.52
  6. Step 6: Final answer
    x = 58,476.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.