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Finding the Third Proportional to 11,468.67 and 17,633.53

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Solution

The third proportional to 11,468.67 and 17,633.53 is: 27,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.67 : 17,633.53 = 17,633.53 : x
  2. Step 2: Convert to fraction form
    11,468.67/17,633.53 = 17,633.53/x
  3. Step 3: Cross multiply
    11,468.67x = 17,633.53 × 17,633.53
  4. Step 4: Simplify right side
    11,468.67x = 310,941,424.34
  5. Step 5: Solve for x
    x = 310,941,424.34/11,468.67
  6. Step 6: Final answer
    x = 27,112.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.