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Finding the Third Proportional to 13,983.25 and 21,603

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Solution

The third proportional to 13,983.25 and 21,603 is: 33,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.25 : 21,603 = 21,603 : x
  2. Step 2: Convert to fraction form
    13,983.25/21,603 = 21,603/x
  3. Step 3: Cross multiply
    13,983.25x = 21,603 × 21,603
  4. Step 4: Simplify right side
    13,983.25x = 466,689,609
  5. Step 5: Solve for x
    x = 466,689,609/13,983.25
  6. Step 6: Final answer
    x = 33,374.90

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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.