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Finding the Third Proportional to 12,714.79 and 25,775.56

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Solution

The third proportional to 12,714.79 and 25,775.56 is: 52,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.79 : 25,775.56 = 25,775.56 : x
  2. Step 2: Convert to fraction form
    12,714.79/25,775.56 = 25,775.56/x
  3. Step 3: Cross multiply
    12,714.79x = 25,775.56 × 25,775.56
  4. Step 4: Simplify right side
    12,714.79x = 664,379,521.51
  5. Step 5: Solve for x
    x = 664,379,521.51/12,714.79
  6. Step 6: Final answer
    x = 52,252.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.