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Finding the Third Proportional to 12,493.50 and 27,219

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Solution

The third proportional to 12,493.50 and 27,219 is: 59,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.50 : 27,219 = 27,219 : x
  2. Step 2: Convert to fraction form
    12,493.50/27,219 = 27,219/x
  3. Step 3: Cross multiply
    12,493.50x = 27,219 × 27,219
  4. Step 4: Simplify right side
    12,493.50x = 740,873,961
  5. Step 5: Solve for x
    x = 740,873,961/12,493.50
  6. Step 6: Final answer
    x = 59,300.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.