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Finding the Third Proportional to 20,182.50 and 27,705

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Solution

The third proportional to 20,182.50 and 27,705 is: 38,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.50 : 27,705 = 27,705 : x
  2. Step 2: Convert to fraction form
    20,182.50/27,705 = 27,705/x
  3. Step 3: Cross multiply
    20,182.50x = 27,705 × 27,705
  4. Step 4: Simplify right side
    20,182.50x = 767,567,025
  5. Step 5: Solve for x
    x = 767,567,025/20,182.50
  6. Step 6: Final answer
    x = 38,031.32

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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.