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Finding the Third Proportional to 6,136.88 and 12,714.19

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Solution

The third proportional to 6,136.88 and 12,714.19 is: 26,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.88 : 12,714.19 = 12,714.19 : x
  2. Step 2: Convert to fraction form
    6,136.88/12,714.19 = 12,714.19/x
  3. Step 3: Cross multiply
    6,136.88x = 12,714.19 × 12,714.19
  4. Step 4: Simplify right side
    6,136.88x = 161,650,563.79
  5. Step 5: Solve for x
    x = 161,650,563.79/6,136.88
  6. Step 6: Final answer
    x = 26,340.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.