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Finding the Third Proportional to 13,537 and 21,240.38

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Solution

The third proportional to 13,537 and 21,240.38 is: 33,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537 : 21,240.38 = 21,240.38 : x
  2. Step 2: Convert to fraction form
    13,537/21,240.38 = 21,240.38/x
  3. Step 3: Cross multiply
    13,537x = 21,240.38 × 21,240.38
  4. Step 4: Simplify right side
    13,537x = 451,153,530.14
  5. Step 5: Solve for x
    x = 451,153,530.14/13,537
  6. Step 6: Final answer
    x = 33,327.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.