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Finding the Third Proportional to 13,502 and 17,973

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Solution

The third proportional to 13,502 and 17,973 is: 23,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502 : 17,973 = 17,973 : x
  2. Step 2: Convert to fraction form
    13,502/17,973 = 17,973/x
  3. Step 3: Cross multiply
    13,502x = 17,973 × 17,973
  4. Step 4: Simplify right side
    13,502x = 323,028,729
  5. Step 5: Solve for x
    x = 323,028,729/13,502
  6. Step 6: Final answer
    x = 23,924.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.