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Finding the Third Proportional to 20,127.75 and 43,714.50

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Solution

The third proportional to 20,127.75 and 43,714.50 is: 94,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127.75 : 43,714.50 = 43,714.50 : x
  2. Step 2: Convert to fraction form
    20,127.75/43,714.50 = 43,714.50/x
  3. Step 3: Cross multiply
    20,127.75x = 43,714.50 × 43,714.50
  4. Step 4: Simplify right side
    20,127.75x = 1,910,957,510.25
  5. Step 5: Solve for x
    x = 1,910,957,510.25/20,127.75
  6. Step 6: Final answer
    x = 94,941.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.