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Finding the Third Proportional to 6,714 and 14,521.50

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Solution

The third proportional to 6,714 and 14,521.50 is: 31,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714 : 14,521.50 = 14,521.50 : x
  2. Step 2: Convert to fraction form
    6,714/14,521.50 = 14,521.50/x
  3. Step 3: Cross multiply
    6,714x = 14,521.50 × 14,521.50
  4. Step 4: Simplify right side
    6,714x = 210,873,962.25
  5. Step 5: Solve for x
    x = 210,873,962.25/6,714
  6. Step 6: Final answer
    x = 31,408.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.