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Finding the Third Proportional to 13,502 and 21,133

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Solution

The third proportional to 13,502 and 21,133 is: 33,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502 : 21,133 = 21,133 : x
  2. Step 2: Convert to fraction form
    13,502/21,133 = 21,133/x
  3. Step 3: Cross multiply
    13,502x = 21,133 × 21,133
  4. Step 4: Simplify right side
    13,502x = 446,603,689
  5. Step 5: Solve for x
    x = 446,603,689/13,502
  6. Step 6: Final answer
    x = 33,076.85

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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.