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Finding the Third Proportional to 20,284 and 27,300

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Solution

The third proportional to 20,284 and 27,300 is: 36,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284 : 27,300 = 27,300 : x
  2. Step 2: Convert to fraction form
    20,284/27,300 = 27,300/x
  3. Step 3: Cross multiply
    20,284x = 27,300 × 27,300
  4. Step 4: Simplify right side
    20,284x = 745,290,000
  5. Step 5: Solve for x
    x = 745,290,000/20,284
  6. Step 6: Final answer
    x = 36,742.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.