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Finding the Third Proportional to 19,840 and 27,205

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Solution

The third proportional to 19,840 and 27,205 is: 37,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840 : 27,205 = 27,205 : x
  2. Step 2: Convert to fraction form
    19,840/27,205 = 27,205/x
  3. Step 3: Cross multiply
    19,840x = 27,205 × 27,205
  4. Step 4: Simplify right side
    19,840x = 740,112,025
  5. Step 5: Solve for x
    x = 740,112,025/19,840
  6. Step 6: Final answer
    x = 37,304.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.