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Finding the Third Proportional to 7,661.53 and 11,714.91

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Solution

The third proportional to 7,661.53 and 11,714.91 is: 17,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.53 : 11,714.91 = 11,714.91 : x
  2. Step 2: Convert to fraction form
    7,661.53/11,714.91 = 11,714.91/x
  3. Step 3: Cross multiply
    7,661.53x = 11,714.91 × 11,714.91
  4. Step 4: Simplify right side
    7,661.53x = 137,239,028.45
  5. Step 5: Solve for x
    x = 137,239,028.45/7,661.53
  6. Step 6: Final answer
    x = 17,912.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.