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Finding the Third Proportional to 11,453.06 and 24,296.63

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Solution

The third proportional to 11,453.06 and 24,296.63 is: 51,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.06 : 24,296.63 = 24,296.63 : x
  2. Step 2: Convert to fraction form
    11,453.06/24,296.63 = 24,296.63/x
  3. Step 3: Cross multiply
    11,453.06x = 24,296.63 × 24,296.63
  4. Step 4: Simplify right side
    11,453.06x = 590,325,986.39
  5. Step 5: Solve for x
    x = 590,325,986.39/11,453.06
  6. Step 6: Final answer
    x = 51,543.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.