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Finding the Third Proportional to 12,714.75 and 30,405.38

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Solution

The third proportional to 12,714.75 and 30,405.38 is: 72,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.75 : 30,405.38 = 30,405.38 : x
  2. Step 2: Convert to fraction form
    12,714.75/30,405.38 = 30,405.38/x
  3. Step 3: Cross multiply
    12,714.75x = 30,405.38 × 30,405.38
  4. Step 4: Simplify right side
    12,714.75x = 924,486,828.89
  5. Step 5: Solve for x
    x = 924,486,828.89/12,714.75
  6. Step 6: Final answer
    x = 72,709.79

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.