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Finding the Third Proportional to 11,745 and 17,989.59

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Solution

The third proportional to 11,745 and 17,989.59 is: 27,554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745 : 17,989.59 = 17,989.59 : x
  2. Step 2: Convert to fraction form
    11,745/17,989.59 = 17,989.59/x
  3. Step 3: Cross multiply
    11,745x = 17,989.59 × 17,989.59
  4. Step 4: Simplify right side
    11,745x = 323,625,483.29
  5. Step 5: Solve for x
    x = 323,625,483.29/11,745
  6. Step 6: Final answer
    x = 27,554.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.