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Finding the Third Proportional to 11,617.59 and 18,464.63

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Solution

The third proportional to 11,617.59 and 18,464.63 is: 29,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.59 : 18,464.63 = 18,464.63 : x
  2. Step 2: Convert to fraction form
    11,617.59/18,464.63 = 18,464.63/x
  3. Step 3: Cross multiply
    11,617.59x = 18,464.63 × 18,464.63
  4. Step 4: Simplify right side
    11,617.59x = 340,942,376.39
  5. Step 5: Solve for x
    x = 340,942,376.39/11,617.59
  6. Step 6: Final answer
    x = 29,347.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.