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Finding the Third Proportional to 12,538.13 and 26,989.88

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Solution

The third proportional to 12,538.13 and 26,989.88 is: 58,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.13 : 26,989.88 = 26,989.88 : x
  2. Step 2: Convert to fraction form
    12,538.13/26,989.88 = 26,989.88/x
  3. Step 3: Cross multiply
    12,538.13x = 26,989.88 × 26,989.88
  4. Step 4: Simplify right side
    12,538.13x = 728,453,352.52
  5. Step 5: Solve for x
    x = 728,453,352.52/12,538.13
  6. Step 6: Final answer
    x = 58,099.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.