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Finding the Third Proportional to 12,039 and 17,710

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Solution

The third proportional to 12,039 and 17,710 is: 26,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,039 : 17,710 = 17,710 : x
  2. Step 2: Convert to fraction form
    12,039/17,710 = 17,710/x
  3. Step 3: Cross multiply
    12,039x = 17,710 × 17,710
  4. Step 4: Simplify right side
    12,039x = 313,644,100
  5. Step 5: Solve for x
    x = 313,644,100/12,039
  6. Step 6: Final answer
    x = 26,052.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.